Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#104×C71 ⋊ C2 |
| Sylow | C71 ⋊ #2901 |
738 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=f,e^2=g,f^2=g,b^a=be,e^a=eg,e^b=eg,d^c=dg,h^d=h^701024 conjugacy classes — view the full character table.
| maximal subgroup of | #32013408, #32013410, #32013414, … |
| maximal normal subgroup of | #32013408, #32013410, #32013414, … |
| maximal quotient of | #31963829, #31963830, #31963836, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13054);