Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
624 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 624 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. #19143666 | C2 | semidirect |
| 2. #19136260 | C2 | semidirect |
| 3. #19134559 | C2 | semidirect |
| 4. #19132725 | C2 | semidirect |
| 19. C43×#456 | C4 | semidirect |
| 21. C43×#454 | C4 | semidirect |
| 203. #456 | Dic43 | semidirect |
| 205. #454 | Dic43 | semidirect |
| 219. C43 | #13053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143666 | 2 |
| #19136260 | 2 |
| #19134559 | 2 |
| #19132725 | 2 |
| C43×#3018 | 2 |
| #13053 | 43 |