C₂×C₅×C₂₃×D₄₁ #34038232

order	18860
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₅×C₂₃×D₄₁

	subgroup	G/H
center, hypercenter	C₂×C₅×C₂₃	D₄₁
commutator, cosocle, hypocenter	C₄₁	C₂²×C₅×C₂₃
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₂₃×C₄₁	C₂
LCS	G ▷ C₄₁
UCS	C₁ ◁ C₂×C₅×C₂₃

40 conjugacy classes of subgroups.

μ_t(G) = 9430

5060 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18860, 46);