C₃²×C₁₉×D₉₁ #44528028

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

C₃²×C₁₉×D₉₁

	subgroup	G/H
center, hypercenter	C₃²×C₁₉	D₉₁
commutator, cosocle, hypocenter	C₇×C₁₃	C₂×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₇×C₁₃
UCS	C₁ ◁ C₃²×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 15561

8037 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 511);