Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
394 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. C2×#14582723 | C2 | semidirect |
| 4. #19135383 | C2 | semidirect |
| 5. #19132694 | C2 | semidirect |
| 6. #19132682 | C2 | semidirect |
| 19. #14582706 | C4 | semidirect |
| 37. C2×C43⋊C16 | C2×C4 | semidirect |
| 39. #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 |
|---|---|
| #19143479 | 2 |
| C2×#14582723 | 2 |
| #19136323 | 2 |
| #19135383 | 2 |
| #19132694 | 2 |
| #19132682 | 2 |
| C43×#2148 | 2 |
| #12949 | 43 |