C₂×C₇⋊D₇×C₁₆₃ #44543995

order	31948
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₆₃ · Schur multiplier (H₂) = C₂×C₇

Aliases

direct product	C₂×C₇⋊D₇×C₁₆₃
unambiguous semidirect product	(C₂×C₇)⋊(D₇×C₁₆₃)

	subgroup	G/H
center, hypercenter	C₂×C₁₆₃	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂²×C₁₆₃
Frattini	C₁	G
Fitting, socle	C₂×C₇²×C₁₆₃	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₂×C₁₆₃

100 conjugacy classes of subgroups.

μ_t(G) = 15974

8476 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31948, 27);