Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
232 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 59 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14582734 | C2 | semidirect |
| 2. #19136843 | C2 | semidirect |
| 3. D16×Dic43 | C2 | semidirect |
| 4. Dic43⋊C32 | C2 | semidirect |
| 5. #19132774 | C2 | semidirect |
| 6. #19132773 | C2 | semidirect |
| 7. C2×C43×D32 | C2 | semidirect |
| 38. D16×C43 | D4 | semidirect |
| 96. Dic43 | D32 | semidirect |
| 98. C2×D32 | D43 | semidirect |
| 123. C43 | #13685 | semidirect |
| 136. D16 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582734 | 2 |
| #19136843 | 2 |
| D16×Dic43 | 2 |
| Dic43⋊C32 | 2 |
| #19132774 | 2 |
| #19132773 | 2 |
| C2×C43×D32 | 2 |
| #13685 | 43 |