Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
432 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19134672 | C2 | semidirect |
| 3. #19132617 | C2 | semidirect |
| 5. C43×#1458 | C2 | semidirect |
| 6. C2×#13063313 | C4 | semidirect |
| 7. #14582819 | C4 | semidirect |
| 8. #14582816 | C4 | semidirect |
| 16. #14582745 | C4 | semidirect |
| 176. #1458 | D43 | semidirect |
| 203. C43 | #11844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140282 | 2 |
| #19134672 | 2 |
| #19132617 | 2 |
| #19132593 | 2 |
| C43×#1458 | 2 |
| #11844 | 43 |