C₃×C₁₃×D₇×C₄₁ #36375588

order	22386
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₁₃×D₇×C₄₁

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₄₁	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₃×C₁₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₄₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₃×C₁₃×C₄₁

32 conjugacy classes of subgroups.

μ_t(G) = 11193

7995 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22386, 9);