Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #416×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3302 |
386 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=g,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=de,h^b=h^70,f^c=fg1015 conjugacy classes — view the full character table.
| maximal subgroup of | #3302×D71, C2×#22600253, #32873933, … |
| maximal normal subgroup of | #3302×D71, C2×#22600253, #32873933, … |
| maximal quotient of | #32012906, #32013725, #32014653, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16423);