C₅×D₇×D₁₁×C₂₃ #47978437

order	35420
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

C₅×D₇×D₁₁×C₂₃

	subgroup	G/H
center, hypercenter	C₅×C₂₃	D₇×D₁₁
commutator, cosocle, hypocenter	C₇×C₁₁	C₂²×C₅×C₂₃
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₁×C₂₃	C₂²
LCS	G ▷ C₇×C₁₁
UCS	C₁ ◁ C₅×C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 8855

4025 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35420, 71);