Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
814 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 814 conjugacy classes of subgroups — too many to draw. Only its 179 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. C2×#14583341 | C2 | semidirect |
| 3. #494×D43 | C2 | semidirect |
| 4. #19136863 | C2 | semidirect |
| 5. #19136852 | C2 | semidirect |
| 6. #19136851 | C2 | semidirect |
| 7. #19136847 | C2 | semidirect |
| 8. C4×#13063264 | C2 | semidirect |
| 9. C43×#2247 | C2 | semidirect |
| 64. #13063264 | D4 | semidirect |
| 158. C4×C43 | #510 | semidirect |
| 171. #2247 | D43 | semidirect |
| 203. C43 | #33718 | semidirect |
| 328. C4 | #14583341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583341 | 2 |
| #19145024 | 2 |
| #494×D43 | 2 |
| #19136863 | 2 |
| #19136852 | 2 |
| #19136851 | 2 |
| #19136847 | 2 |
| C4×#13063264 | 2 |
| C43×#2247 | 2 |
| #33718 | 43 |