Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#17986362 |
| Fitting | C2×#102×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#490 |
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#17986362, #32005522, #32005539, … |
| maximal normal subgroup of | C4×#17986362, #32005522, #32005539, … |
| maximal quotient of | C2×#22588472, C2×#22589034, C2×#22589035, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14843);