C₂×C₃×C₁₃×D₁₅₁ #37555595

order	23556
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₁₃×D₁₅₁

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₃	D₁₅₁
commutator, cosocle, hypocenter	C₁₅₁	C₂²×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₃×C₁₅₁	C₂
LCS	G ▷ C₁₅₁
UCS	C₁ ◁ C₂×C₃×C₁₃

40 conjugacy classes of subgroups.

μ_t(G) = 11778

6006 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23556, 70);