Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×C22⋊C4×D71 |
| Fitting | C4×C22⋊C4×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
1480 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1282×D71, #31887122, #1284×D71, … |
| maximal normal subgroup of | #1282×D71, #31887122, #1284×D71, … |
| maximal quotient of | C4×#95×D71, C4×#17985846, C4×C22⋊C4×Dic71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6838);