C₂×D₇×C₂₃×C₃₁ #34093199

order	19964
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₃×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₇×C₂₃×C₃₁
unambiguous semidirect product	C₇⋊(C₂²×C₂₃×C₃₁)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₂₃×C₃₁)

	subgroup	G/H
center, hypercenter	C₂×C₂₃×C₃₁	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₂₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₂₃×C₃₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₂₃×C₃₁

40 conjugacy classes of subgroups.

μ_t(G) = 9982

7130 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19964, 20);