C₃×C₁₇×D₃₀₅ #44527436

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

Aliases

direct product	C₃×C₁₇×D₃₀₅
unambiguous semidirect product	C₅⋊(C₃×C₁₇×D₆₁)

	subgroup	G/H
center, hypercenter	C₃×C₁₇	D₃₀₅
commutator, cosocle, hypocenter	C₅×C₆₁	C₂×C₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₆₁	C₂
LCS	G ▷ C₅×C₆₁
UCS	C₁ ◁ C₃×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 15555

7854 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31110, 9);