C₃×C₇²×D₅×C₂₃ #46798971

order	33810
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇²×C₂₃ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₃×C₇²×D₅×C₂₃
unambiguous semidirect product	C₅⋊(C₂×C₃×C₇²×C₂₃)

	subgroup	G/H
center, hypercenter	C₃×C₇²×C₂₃	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃×C₇²×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇²×C₂₃	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃×C₇²×C₂₃

160 conjugacy classes of subgroups.

μ_t(G) = 16905

13524 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33810, 75);