Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #557×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3388 |
334 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=e,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,f^c=fg,h^c=h^70904 conjugacy classes — view the full character table.
| maximal subgroup of | #3388×D71, C2×#22601279, #32878010, … |
| maximal normal subgroup of | #3388×D71, C2×#22601279, #32878010, … |
| maximal quotient of | #32014117, #32014138, #32015761, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 17449);