C₂×C₃⋊D₃×C₈₆₃ #44526993

order	31068
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈₆₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₈₆₃
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₈₆₃)

	subgroup	G/H
center, hypercenter	C₂×C₈₆₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₈₆₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₈₆₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₈₆₃

60 conjugacy classes of subgroups.

μ_t(G) = 15534

10356 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31068, 29);