C₂×C₃⋊D₃×C₈₈₇ #44542542

order	31932
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈₈₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₈₈₇
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₈₈₇)

	subgroup	G/H
center, hypercenter	C₂×C₈₈₇	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₈₈₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₈₈₇	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₈₈₇

60 conjugacy classes of subgroups.

μ_t(G) = 15966

10644 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31932, 29);