C₂×C₃×C₁₃×D₇×C₃₁ #46799634

order	33852
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₁₃×D₇×C₃₁

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₃×C₃₁	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃×C₁₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₁₃×C₃₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃×C₁₃×C₃₁

80 conjugacy classes of subgroups.

μ_t(G) = 16926

12090 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 429);