C₃²×C₇×C₁₉×D₁₃ #44528024

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₇×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

C₃²×C₇×C₁₉×D₁₃

	subgroup	G/H
center, hypercenter	C₃²×C₇×C₁₉	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂×C₃²×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₃²×C₇×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 15561

9576 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 507);