C₇×C₁₃×D₁₈₅ #46797606

order	33670
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₃×D₁₈₅
unambiguous semidirect product	C₅⋊(C₇×C₁₃×D₃₇)
unambiguous semidirect product	C₃₇⋊(C₇×D₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₇×C₁₃	D₁₈₅
commutator, cosocle, hypocenter	C₅×C₃₇	C₂×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₃₇	C₂
LCS	G ▷ C₅×C₃₇
UCS	C₁ ◁ C₇×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 16835

8554 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33670, 10);