C₂×D₅×C₁₃×C₈₉ #37528987

order	23140
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₈₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₅×C₁₃×C₈₉
unambiguous semidirect product	C₅⋊(C₂²×C₁₃×C₈₉)
unambiguous semidirect product	(C₂×C₅)⋊(C₂×C₁₃×C₈₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₈₉	D₅
commutator, cosocle, hypocenter	C₅	C₂²×C₁₃×C₈₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₃×C₈₉	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₂×C₁₃×C₈₉

40 conjugacy classes of subgroups.

μ_t(G) = 11570

9256 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23140, 48);