Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#104×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3018 |
724 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^70,e^b=eg,f^b=fg,e^c=eg,h^c=h^701012 conjugacy classes — view the full character table.
| maximal subgroup of | #32003411, #32003416, #32003422, … |
| maximal normal subgroup of | #32003411, #32003416, #32003422, … |
| maximal quotient of | #31969560, #31969611, #31969662, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13861);