Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3119 |
396 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^70,d^b=dg,h^b=h^70,f^c=fg,h^c=h^701012 conjugacy classes — view the full character table.
| maximal subgroup of | #3119×D71, C2×#22598545, #32865815, … |
| maximal normal subgroup of | #3119×D71, C2×#22598545, #32865815, … |
| maximal quotient of | #31997568, #32000549, #32000569, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14715);