C₁₃×C₄₁×D₂₁ #36375596

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

Aliases

direct product	C₁₃×C₄₁×D₂₁
unambiguous semidirect product	C₃⋊(C₁₃×D₇×C₄₁)
unambiguous semidirect product	C₇⋊(D₃×C₁₃×C₄₁)

	subgroup	G/H
center, hypercenter	C₁₃×C₄₁	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂×C₁₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₄₁	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₁₃×C₄₁

32 conjugacy classes of subgroups.

μ_t(G) = 11193

6396 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22386, 17);