C₂×D₃×C₂₉×C₈₉ #44526397

order	30972
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₉×C₈₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₂₉×C₈₉
unambiguous semidirect product	C₃⋊(C₂²×C₂₉×C₈₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₂₉×C₈₉)

	subgroup	G/H
center, hypercenter	C₂×C₂₉×C₈₉	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₂₉×C₈₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₂₉×C₈₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₂₉×C₈₉

40 conjugacy classes of subgroups.

μ_t(G) = 15486

15486 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30972, 33);