C₃×C₁₃×D₂₈₇ #36375589

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

Aliases

direct product	C₃×C₁₃×D₂₈₇
unambiguous semidirect product	C₄₁⋊(C₃×C₁₃×D₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₃	D₂₈₇
commutator, cosocle, hypocenter	C₇×C₄₁	C₂×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₄₁	C₂
LCS	G ▷ C₇×C₄₁
UCS	C₁ ◁ C₃×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 11193

5655 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22386, 10);