Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #518×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3118 |
406 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^a=h^70,d^b=dg,f^c=fg1222 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #3118×D71, C2×#22598524, #32865811, … |
| maximal normal subgroup of | #3118×D71, C2×#22598524, #32865811, … |
| maximal quotient of | #31997543, #32000528, #32000543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14694);