C₂×C₃×C₁₇×C₆₁⋊C₅ #44527429

order	31110
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₃×C₁₇×C₆₁⋊C₅
unambiguous semidirect product	(C₂×C₃×C₆₁)⋊(C₅×C₁₇)
unambiguous semidirect product	(C₂×C₃×C₁₇×C₆₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₇	C₆₁⋊C₅
commutator, cosocle, hypocenter	C₆₁	C₂×C₃×C₅×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₇×C₆₁	C₅
LCS	G ▷ C₆₁
UCS	C₁ ◁ C₂×C₃×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 6222

1734 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31110, 2);