D₇×C₁₃⋊C₃×C₄₁ #36375612

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

Aliases

D₇×C₁₃⋊C₃×C₄₁

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

32 conjugacy classes of subgroups.

μ_t(G) = 3731

1435 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22386, 33);