Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
672 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #19136269 | C2 | semidirect |
| 4. #19136250 | C2 | semidirect |
| 6. #19132716 | C2 | semidirect |
| 7. C43×#1395 | C2 | semidirect |
| 9. C2×#13063358 | C4 | semidirect |
| 10. C22×#10621873 | C4 | semidirect |
| 19. #14582905 | C4 | semidirect |
| 20. #14582896 | C4 | semidirect |
| 37. C22×Dic86 | C2×C4 | semidirect |
| 60. #13063284 | C2×C4 | semidirect |
| 75. C2×M16×C43 | C2×C4 | semidirect |
| 76. C22×C8×C43 | C2×C4 | semidirect |
| 249. #1395 | D43 | semidirect |
| 282. C43 | #13100 | semidirect |
| 304. C2×M16 | C4×D43 | semidirect |
| 305. C22×C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143874 | 2 |
| #19143054 | 2 |
| #19136269 | 2 |
| #19136250 | 2 |
| #19134566 | 2 |
| #19132716 | 2 |
| C43×#1395 | 2 |
| #13100 | 43 |