Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
460 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 460 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. C2×#14582721 | C2 | semidirect |
| 5. #19135349 | C2 | semidirect |
| 6. #19132674 | C2 | semidirect |
| 7. C43×#1386 | C2 | semidirect |
| 19. #14582699 | C4 | semidirect |
| 40. C2×C43⋊C16 | C2×C4 | semidirect |
| 53. #107×C43 | C2×C4 | semidirect |
| 145. #1386 | D43 | semidirect |
| 168. C43 | #12956 | semidirect |
| 194. #107 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583010 | 2 |
| C2×#14582721 | 2 |
| C2×#14582713 | 2 |
| #19136310 | 2 |
| #19135349 | 2 |
| #19132674 | 2 |
| C43×#1386 | 2 |
| #12956 | 43 |