Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
494 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #19143472 | C2 | semidirect |
| 3. C2×#14582705 | C2 | semidirect |
| 4. C2×#14582700 | C2 | semidirect |
| 5. #19132705 | C2 | semidirect |
| 6. #19132684 | C2 | semidirect |
| 7. C43×#1978 | C2 | semidirect |
| 11. #14583335 | C4 | semidirect |
| 45. #13063265 | C2×C4 | semidirect |
| 60. C2×D8×C43 | C2×C4 | semidirect |
| 186. #1978 | D43 | semidirect |
| 216. C43 | #13022 | semidirect |
| 231. C2×D8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583335 | 2 |
| #19143472 | 2 |
| C2×#14582705 | 2 |
| C2×#14582700 | 2 |
| #19132705 | 2 |
| #19132684 | 2 |
| C43×#1978 | 2 |
| #13022 | 43 |