D₇×C₂₉×C₇₉ #44545496

order	32074
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉×C₇₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇×C₂₉×C₇₉
unambiguous semidirect product	C₇⋊(C₂×C₂₉×C₇₉)

	subgroup	G/H
center, hypercenter	C₂₉×C₇₉	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₂₉×C₇₉
Frattini	C₁	G
Fitting, socle	C₇×C₂₉×C₇₉	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂₉×C₇₉

16 conjugacy classes of subgroups.

μ_t(G) = 16037

11455 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32074, 6);