C₂₉×D₁₅×C₃₇ #44565721

order	32190
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₉×D₁₅×C₃₇
unambiguous semidirect product	C₃⋊(D₅×C₂₉×C₃₇)
unambiguous semidirect product	C₅⋊(D₃×C₂₉×C₃₇)

	subgroup	G/H
center, hypercenter	C₂₉×C₃₇	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₂₉×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₉×C₃₇	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₂₉×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 16095

9657 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32190, 14);