Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×D8×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3100 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^70,f^c=fg1018 conjugacy classes — view the full character table.
| maximal subgroup of | #31967315, #31967317, #31967384, … |
| maximal normal subgroup of | #31967315, #31967317, #31967384, … |
| maximal quotient of | #31997448, #32000376, #32000378, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14508);