C₁₃×C₃₇×D₃₅ #46797609

order	33670
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₃₇×D₃₅
unambiguous semidirect product	C₅⋊(C₁₃×D₇×C₃₇)
unambiguous semidirect product	C₇⋊(D₅×C₁₃×C₃₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₃₇	D₃₅
commutator, cosocle, hypocenter	C₅×C₇	C₂×C₁₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₃₇	C₂
LCS	G ▷ C₅×C₇
UCS	C₁ ◁ C₁₃×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 16835

9139 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33670, 13);