Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1018 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 1018 conjugacy classes of subgroups — too many to draw. Only its 105 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×#14583049 | C2 | semidirect |
| 3. #19135581 | C2 | semidirect |
| 4. #19134527 | C2 | semidirect |
| 5. #19133163 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 7. C43×#3187 | C2 | semidirect |
| 54. C22⋊(C43⋊C8) | D4 | semidirect |
| 57. C22×Q8×C43 | D4 | semidirect |
| 62. C22×C8×C43 | D4 | semidirect |
| 73. C2×C4⋊C4×C43 | D4 | semidirect |
| 143. C22⋊Dic43 | SD16 | semidirect |
| 248. #3187 | D43 | semidirect |
| 287. C43 | #9954 | semidirect |
| 289. C22×Q8 | C22⋊D43 | semidirect |
| 305. C22×C8 | C22⋊D43 | semidirect |
| 320. C2×C4⋊C4 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583049 | 2 |
| #19138233 | 2 |
| #19135581 | 2 |
| #19134527 | 2 |
| #19133163 | 2 |
| #19132442 | 2 |
| C43×#3187 | 2 |
| #9954 | 43 |