Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
632 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19144604 | C2 | semidirect |
| 2. #19144392 | C2 | semidirect |
| 4. #19133160 | C2 | semidirect |
| 5. #19133021 | C2 | semidirect |
| 6. #19132454 | C2 | semidirect |
| 7. C43×#1478 | C2 | semidirect |
| 38. #13063325 | D4 | semidirect |
| 39. #13063325 | D4 | semidirect |
| 61. C4⋊(C43⋊C8) | D4 | semidirect |
| 83. C4×C8×C43 | D4 | semidirect |
| 91. C2×D4×C43 | SD16 | semidirect |
| 236. #1478 | D43 | semidirect |
| 270. C43 | #10000 | semidirect |
| 318. C4×C8 | C22⋊D43 | semidirect |
| 337. C2×D4 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144604 | 2 |
| #19144392 | 2 |
| #19139492 | 2 |
| #19133160 | 2 |
| #19133021 | 2 |
| #19132454 | 2 |
| C43×#1478 | 2 |
| #10000 | 43 |