Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
344 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19146066 | C2 | semidirect |
| 2. #19136546 | C2 | semidirect |
| 4. #19132582 | C2 | semidirect |
| 5. #19132579 | C2 | semidirect |
| 6. #19132548 | C2 | semidirect |
| 7. C43×#2053 | C2 | semidirect |
| 170. #2053 | D43 | semidirect |
| 198. C43 | #12172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146066 | 2 |
| #19136546 | 2 |
| #19136541 | 2 |
| #19132582 | 2 |
| #19132579 | 2 |
| #19132548 | 2 |
| C43×#2053 | 2 |
| #12172 | 43 |