C₃²×C₁₃×D₁₃₃ #44528027

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₃ · Schur multiplier (H₂) = C₃

Aliases

C₃²×C₁₃×D₁₃₃

	subgroup	G/H
center, hypercenter	C₃²×C₁₃	D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂×C₃²×C₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₃²×C₁₃

96 conjugacy classes of subgroups.

μ_t(G) = 15561

7956 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 510);