C₂×C₃×C₅×C₁₇×D₃₁ #44539397

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

Aliases

C₂×C₃×C₅×C₁₇×D₃₁

	subgroup	G/H
center, hypercenter	C₂×C₃×C₅×C₁₇	D₃₁
commutator, cosocle, hypocenter	C₃₁	C₂²×C₃×C₅×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₇×C₃₁	C₂
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₂×C₃×C₅×C₁₇

80 conjugacy classes of subgroups.

μ_t(G) = 15810

8670 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31620, 154);