C₂×D₇×C₂₃×C₂₉ #32916388

order	18676
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₃×C₂₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₇×C₂₃×C₂₉
unambiguous semidirect product	C₇⋊(C₂²×C₂₃×C₂₉)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₂₃×C₂₉)

	subgroup	G/H
center, hypercenter	C₂×C₂₃×C₂₉	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₂₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₂₃×C₂₉	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₂₃×C₂₉

40 conjugacy classes of subgroups.

μ_t(G) = 9338

6670 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18676, 35);