Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #449×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3005 |
758 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|c^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,e^b=eg,h^d=h^70697 conjugacy classes — view the full character table.
| maximal subgroup of | #3005×D71, C2×#22597578, #32863840, … |
| maximal normal subgroup of | #3005×D71, C2×#22597578, #32863840, … |
| maximal quotient of | #31969833, #31969872, #31969911, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13748);