C₂×C₅×C₁₇×C₆₁⋊C₃ #44527430

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

Aliases

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

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

32 conjugacy classes of subgroups.

μ_t(G) = 10370

3910 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31110, 3);