#44528079

order	31131
automorphism	?
homology	Abelianization (H₁) = C₂₇ · Schur multiplier (H₂) = C₁

Aliases

No aliases for this group.

C₁₁₅₃ ⋊ C₂₇

	subgroup	G/H
center, Frattini, hypercenter	C₉	C₁₁₅₃⋊C₃
commutator, hypocenter	C₁₁₅₃	C₂₇
Fitting, cosocle	C₉×C₁₁₅₃	C₃
socle, prime radical	C₃×C₁₁₅₃	C₉
LCS	G ▷ C₁₁₅₃
UCS	C₁ ◁ C₉

8 conjugacy classes of subgroups.

μ_t(G) = 31131

Polycyclic presentation:

3^3,1153|a^3=b,b^3=c,d^a=d^650

3483 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31131, 6);