C₇×D₅×C₁₃×C₂₃ #35230183

order	20930
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×D₅×C₁₃×C₂₃
unambiguous semidirect product	C₅⋊(C₂×C₇×C₁₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₂₃	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₇×C₁₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₂₃	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₇×C₁₃×C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 10465

8372 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20930, 9);