C₇×C₁₇×D₁₅₅ #49146263

order	36890
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₇×D₁₅₅
unambiguous semidirect product	C₅⋊(C₇×C₁₇×D₃₁)
unambiguous semidirect product	C₃₁⋊(C₇×D₅×C₁₇)

	subgroup	G/H
center, hypercenter	C₇×C₁₇	D₁₅₅
commutator, cosocle, hypocenter	C₅×C₃₁	C₂×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₇×C₃₁	C₂
LCS	G ▷ C₅×C₃₁
UCS	C₁ ◁ C₇×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 18445

9401 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36890, 11);