Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #485×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3196 |
414 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|b^2=g,c^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^70,c^b=ceg,h^b=h^70,f^c=fg,h^d=h^70691 conjugacy classes — view the full character table.
| maximal subgroup of | #3196×D71, C2×#22599174, #32868088, … |
| maximal normal subgroup of | #3196×D71, C2×#22599174, #32868088, … |
| maximal quotient of | #32006531, #32006540, #32007743, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 15344);