C₅×C₁₇×D₁₈₃ #44527440

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

Aliases

direct product	C₅×C₁₇×D₁₈₃
unambiguous semidirect product	C₃⋊(C₅×C₁₇×D₆₁)

	subgroup	G/H
center, hypercenter	C₅×C₁₇	D₁₈₃
commutator, cosocle, hypocenter	C₃×C₆₁	C₂×C₅×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₆₁	C₂
LCS	G ▷ C₃×C₆₁
UCS	C₁ ◁ C₅×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 15555

7905 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31110, 13);