C₂×C₃⋊D₃×C₈₅₉ #44525715

order	30924
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈₅₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₈₅₉
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₈₅₉)

	subgroup	G/H
center, hypercenter	C₂×C₈₅₉	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₈₅₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₈₅₉	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₈₅₉

60 conjugacy classes of subgroups.

μ_t(G) = 15462

10308 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30924, 45);