Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 115 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×#14582719 | C2 | semidirect |
| 5. #19134758 | C2 | semidirect |
| 6. #19132705 | C2 | semidirect |
| 7. C43×#1387 | C2 | semidirect |
| 12. #14583015 | C4 | semidirect |
| 157. #1387 | D43 | semidirect |
| 182. C43 | #12820 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583015 | 2 |
| C2×#14582719 | 2 |
| #19136308 | 2 |
| #19136305 | 2 |
| #19134758 | 2 |
| #19132705 | 2 |
| C43×#1387 | 2 |
| #12820 | 43 |