Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
224 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19136673 | C2 | semidirect |
| 3. #19136433 | C2 | semidirect |
| 4. #19132671 | C2 | semidirect |
| 5. #19132634 | C2 | semidirect |
| 6. #19132632 | C2 | semidirect |
| 7. C43×#2248 | C2 | semidirect |
| 104. #2248 | D43 | semidirect |
| 130. C43 | #12438 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136673 | 2 |
| #19136668 | 2 |
| #19136433 | 2 |
| #19132671 | 2 |
| #19132634 | 2 |
| #19132632 | 2 |
| C43×#2248 | 2 |
| #12438 | 43 |