C₂×D₇×C₂₉×C₄₁ #45685649

order	33292
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₉×C₄₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₇×C₂₉×C₄₁
unambiguous semidirect product	C₇⋊(C₂²×C₂₉×C₄₁)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₂₉×C₄₁)

	subgroup	G/H
center, hypercenter	C₂×C₂₉×C₄₁	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₂₉×C₄₁
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₂₉×C₄₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₂₉×C₄₁

40 conjugacy classes of subgroups.

μ_t(G) = 16646

11890 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33292, 47);