C₃×D₇×C₂₃×C₁₃⋊C₃ #49179201

order	37674
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₂₃ · Schur multiplier (H₂) = C₃

Aliases

C₃×D₇×C₂₃×C₁₃⋊C₃

	subgroup	G/H
center, hypercenter	C₃×C₂₃	D₇×C₁₃⋊C₃
commutator, cosocle, hypocenter	C₇×C₁₃	C₂×C₃²×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₂₃	C₂×C₃
LCS	G ▷ C₇×C₁₃
UCS	C₁ ◁ C₃×C₂₃

96 conjugacy classes of subgroups.

μ_t(G) = 6279

2415 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37674, 84);