Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
324 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 61 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×#14582736 | C2 | semidirect |
| 3. #19136683 | C2 | semidirect |
| 4. #19132774 | C2 | semidirect |
| 5. #19132773 | C2 | semidirect |
| 6. (C2×D43)⋊C32 | C2 | semidirect |
| 7. C2×C43×SD64 | C2 | semidirect |
| 16. C2×C43⋊C32 | C22 | semidirect |
| 17. #14582725 | C22 | semidirect |
| 19. C2×Q32×C43 | C22 | semidirect |
| 22. C2×C32×C43 | C22 | semidirect |
| 105. C2×D43 | SD64 | semidirect |
| 113. C2×SD64 | D43 | semidirect |
| 125. C2×Q32 | C2×D43 | semidirect |
| 136. C2×C32 | C2×D43 | semidirect |
| 139. C43 | #13664 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D16×D43 | 2 |
| C2×#14582736 | 2 |
| #19136683 | 2 |
| #19132774 | 2 |
| #19132773 | 2 |
| (C2×D43)⋊C32 | 2 |
| C2×C43×SD64 | 2 |
| #13664 | 43 |