Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
378 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19145134 | C2 | semidirect |
| 5. #19132704 | C2 | semidirect |
| 6. #19132691 | C2 | semidirect |
| 7. C43×#1379 | C2 | semidirect |
| 31. C2×D344 | Q8 | semidirect |
| 159. #1379 | D43 | semidirect |
| 183. C43 | #13369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145134 | 2 |
| #19136312 | 2 |
| C2×#14582701 | 2 |
| #19135505 | 2 |
| #19132704 | 2 |
| #19132691 | 2 |
| C43×#1379 | 2 |
| #13369 | 43 |