C₁₇×D₁₅×C₆₁ #44527443

order	31110
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₁₅×C₆₁
unambiguous semidirect product	C₃⋊(D₅×C₁₇×C₆₁)
unambiguous semidirect product	C₅⋊(D₃×C₁₇×C₆₁)

	subgroup	G/H
center, hypercenter	C₁₇×C₆₁	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₁₇×C₆₁
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₆₁	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₁₇×C₆₁

32 conjugacy classes of subgroups.

μ_t(G) = 15555

9333 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31110, 16);