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MAGMA question concerning the order of conjugacy classes of a group

MAGMA question: SemidirectProduct using a homomorphism $f:G rightarrow GL_n(mathbbF_p)$.Efficiency of Group-Theoretic Algorithms in MAGMAGroup representation in MAGMAGalois group command for Magma online calculator?Character Table of Finite Group In MagmaComputing group cohomology in magma?Study of specific Quotients of a $p$-group in MAGMAenumerating elements of a group in MagmaGenerate some sort of “graph” of specific subgroupsOrder of roots in MAGMA and/or Pari for computing Galois groups

0

$begingroup$

When I enter a group $G$ in MAGMA and ask MAGMA for the character table
$ct$ of $G$, is then the order of the conjugacy classes of $ct$ always
the same as the order of the conjugacy classes of $G$, when I enter
[c[3]: c in Classes(G)]; ?

Example:

G:=SymmetricGroup(7);

ct:=CharacterTable(G);

ct;

[c[3]: c in Classes(G)];

magma-cas

share|cite|improve this question

edited Mar 15 at 1:45

Morgan Rodgers

9,84021440

asked Mar 7 at 14:50

Bernhard BoehmlerBernhard Boehmler

435213

$endgroup$

add a comment | 

0

$begingroup$

When I enter a group $G$ in MAGMA and ask MAGMA for the character table
$ct$ of $G$, is then the order of the conjugacy classes of $ct$ always
the same as the order of the conjugacy classes of $G$, when I enter
[c[3]: c in Classes(G)]; ?

Example:

G:=SymmetricGroup(7);

ct:=CharacterTable(G);

ct;

[c[3]: c in Classes(G)];

magma-cas

share|cite|improve this question

edited Mar 15 at 1:45

Morgan Rodgers

9,84021440

asked Mar 7 at 14:50

Bernhard BoehmlerBernhard Boehmler

435213

$endgroup$

add a comment | 

$begingroup$

When I enter a group $G$ in MAGMA and ask MAGMA for the character table
$ct$ of $G$, is then the order of the conjugacy classes of $ct$ always
the same as the order of the conjugacy classes of $G$, when I enter
[c[3]: c in Classes(G)]; ?

Example:

G:=SymmetricGroup(7);

ct:=CharacterTable(G);

ct;

[c[3]: c in Classes(G)];

magma-cas

share|cite|improve this question

edited Mar 15 at 1:45

Morgan Rodgers

9,84021440

asked Mar 7 at 14:50

Bernhard BoehmlerBernhard Boehmler

435213

$endgroup$

G:=SymmetricGroup(7);

ct:=CharacterTable(G);

ct;

[c[3]: c in Classes(G)];

share|cite|improve this question

edited Mar 15 at 1:45

Morgan Rodgers

9,84021440

asked Mar 7 at 14:50

Bernhard BoehmlerBernhard Boehmler

435213

share|cite|improve this question

edited Mar 15 at 1:45

Morgan Rodgers

9,84021440

asked Mar 7 at 14:50

Bernhard BoehmlerBernhard Boehmler

435213

edited Mar 15 at 1:45

Morgan Rodgers

9,84021440

edited Mar 15 at 1:45

Morgan Rodgers

9,84021440

asked Mar 7 at 14:50

Bernhard BoehmlerBernhard Boehmler

435213

asked Mar 7 at 14:50

Bernhard BoehmlerBernhard Boehmler

435213