C₁₃×C₂₃×D₃₅ #35230187

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

Aliases

direct product	C₁₃×C₂₃×D₃₅
unambiguous semidirect product	C₅⋊(C₁₃×D₇×C₂₃)
unambiguous semidirect product	C₇⋊(D₅×C₁₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₁₃×C₂₃	D₃₅
commutator, cosocle, hypocenter	C₅×C₇	C₂×C₁₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₂₃	C₂
LCS	G ▷ C₅×C₇
UCS	C₁ ◁ C₁₃×C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 10465

5681 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20930, 13);