Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #451×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3202 |
378 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=g,b^2=g,c^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,d^b=dg,h^b=h^70,f^c=fg691 conjugacy classes — view the full character table.
| maximal subgroup of | #3202×D71, C2×#22599233, #32868176, … |
| maximal normal subgroup of | #3202×D71, C2×#22599233, #32868176, … |
| maximal quotient of | #32006556, #32006561, #32007762, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 15403);