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 ⋊ #3108 |
390 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|c^2=g,d^2=eg,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 | #31967428, #31967436, #31967474, … |
| maximal normal subgroup of | #31967428, #31967436, #31967474, … |
| maximal quotient of | #31997469, #32000409, #32000411, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14588);