C₂²×C₁₃×C₁₅₇⋊C₃ #37587657

order	24492
isoclinism	isoclinic class of C₁₅₇⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₃×C₁₅₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₃	C₁₅₇⋊C₃
commutator, cosocle, hypocenter	C₁₅₇	C₂²×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₂²×C₁₃×C₁₅₇	C₃
LCS	G ▷ C₁₅₇
UCS	C₁ ◁ C₂²×C₁₃

40 conjugacy classes of subgroups.

2860 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24492, 108);