Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19136383 | C2 | semidirect |
| 2. C2×#14582719 | C2 | semidirect |
| 5. #19135341 | C2 | semidirect |
| 6. #19132705 | C2 | semidirect |
| 171. C43 | #13478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136383 | 2 |
| C2×#14582719 | 2 |
| #19136311 | 2 |
| #19135462 | 2 |
| #19135341 | 2 |
| #19132705 | 2 |
| C2×C43×#361 | 2 |
| #13478 | 43 |