D₇×C₂₃×C₃₇⋊C₃ #49088370

order	35742
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

D₇×C₂₃×C₃₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂₃	D₇×C₃₇⋊C₃
commutator, cosocle, hypocenter	C₇×C₃₇	C₂×C₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₇×C₂₃×C₃₇	C₂×C₃
LCS	G ▷ C₇×C₃₇
UCS	C₁ ◁ C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 5957

1725 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35742, 33);