C₂²×C₅×C₁₇×C₃₁⋊C₃ #44539396

order	31620
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₁₇×C₃₁⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₅×C₁₇	C₃₁⋊C₃
commutator, cosocle, hypocenter	C₃₁	C₂²×C₃×C₅×C₁₇
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₁₇×C₃₁	C₃
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₂²×C₅×C₁₇

80 conjugacy classes of subgroups.

μ_t(G) = 10540

4420 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31620, 153);