C₂×C₁₉×C₁₂₇⋊C₇ #46798720

order	33782
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₉×C₁₂₇⋊C₇
unambiguous semidirect product	(C₂×C₁₂₇)⋊(C₇×C₁₉)
unambiguous semidirect product	(C₂×C₁₉×C₁₂₇)⋊C₇

	subgroup	G/H
center, hypercenter	C₂×C₁₉	C₁₂₇⋊C₇
commutator, cosocle, hypocenter	C₁₂₇	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₁₂₇	C₇
LCS	G ▷ C₁₂₇
UCS	C₁ ◁ C₂×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 4826

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33782, 2);