Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #452×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3013 |
712 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|b^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^70,e^b=eg,h^b=h^70,d^c=dg,h^d=h^70697 conjugacy classes — view the full character table.
| maximal subgroup of | #3013×D71, C2×#22597659, #32863915, … |
| maximal normal subgroup of | #3013×D71, C2×#22597659, #32863915, … |
| maximal quotient of | #31970671, #31970679, #31970759, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13829);