Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
850 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 850 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19143845 | C2 | semidirect |
| 2. #19140320 | C2 | semidirect |
| 3. #19135432 | C2 | semidirect |
| 4. #19134538 | C2 | semidirect |
| 5. #19133111 | C2 | semidirect |
| 6. #19132500 | C2 | semidirect |
| 7. C43×#3192 | C2 | semidirect |
| 59. C22⋊(C43⋊C8) | D4 | semidirect |
| 66. C22×D4×C43 | D4 | semidirect |
| 69. C2×M16×C43 | D4 | semidirect |
| 79. C2×C4⋊C4×C43 | D4 | semidirect |
| 272. #3192 | D43 | semidirect |
| 314. C43 | #9930 | semidirect |
| 327. C22×D4 | C22⋊D43 | semidirect |
| 335. C2×M16 | C22⋊D43 | semidirect |
| 347. C2×C4⋊C4 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143845 | 2 |
| #19140320 | 2 |
| #19135432 | 2 |
| #19134538 | 2 |
| #19133111 | 2 |
| #19132500 | 2 |
| C43×#3192 | 2 |
| #9930 | 43 |