C₇×C₁₉×C₁₁⋊D₁₁ #44565686

order	32186
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₉ · Schur multiplier (H₂) = C₁₁

Aliases

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

	subgroup	G/H
center, hypercenter	C₇×C₁₉	C₁₁⋊D₁₁
commutator, cosocle, hypocenter	C₁₁²	C₂×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₁²×C₁₉	C₂
LCS	G ▷ C₁₁²
UCS	C₁ ◁ C₇×C₁₉

112 conjugacy classes of subgroups.

μ_t(G) = 16093

8246 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32186, 13);