Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
394 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#14582721 | C2 | semidirect |
| 4. #19135385 | C2 | semidirect |
| 5. #19132693 | C2 | semidirect |
| 6. #19132681 | C2 | semidirect |
| 16. #14582706 | C4 | semidirect |
| 33. C2×C43⋊C16 | C2×C4 | semidirect |
| 37. #13063261 | C2×C4 | semidirect |
| 177. C43 | #12949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582721 | 2 |
| #19136344 | 2 |
| #19136323 | 2 |
| #19135385 | 2 |
| #19132693 | 2 |
| #19132681 | 2 |
| C43×#2952 | 2 |
| #12949 | 43 |