C₇×C₁₉×D₅₅ #28410696

order	14630
isoclinism	isoclinic class of D₅₅
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₅₅
unambiguous semidirect product	C₅⋊(C₇×C₁₉×D₁₁)
unambiguous semidirect product	C₁₁⋊(C₇×D₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₅₅
commutator, cosocle, hypocenter	C₅×C₁₁	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₁×C₁₉	C₂
LCS	G ▷ C₅×C₁₁
UCS	C₁ ◁ C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 7315

3857 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14630, 12);