Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#17986799 |
| Fitting | C22×M16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
1444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31904222, #31904226, #31904229, … |
| maximal normal subgroup of | #31904222, #31904226, #31904229, … |
| maximal quotient of | C2×#22596860, C2×#22596930, C2×#22597142, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 19257);