Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
426 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19136398 | C2 | semidirect |
| 3. #19132561 | C2 | semidirect |
| 4. C43×#1566 | C2 | semidirect |
| 15. #14582675 | C22 | semidirect |
| 19. C43×#334 | C22 | semidirect |
| 76. D344 | M16 | semidirect |
| 124. #1566 | D43 | semidirect |
| 145. #334 | C2×D43 | semidirect |
| 146. C43 | #11663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D344 | 2 |
| #19136398 | 2 |
| #19132561 | 2 |
| C43×#1566 | 2 |
| #11663 | 43 |