Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
210 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 55 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×#14582734 | C2 | semidirect |
| 2. C2×#14582732 | C2 | semidirect |
| 3. #19136682 | C2 | semidirect |
| 4. #19136678 | C2 | semidirect |
| 5. #19132796 | C2 | semidirect |
| 6. #19132774 | C2 | semidirect |
| 7. C43×#1415 | C2 | semidirect |
| 33. C43⋊C32 | D4 | semidirect |
| 100. #1415 | D43 | semidirect |
| 120. C43 | #13697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582734 | 2 |
| C2×#14582732 | 2 |
| #19136682 | 2 |
| #19136678 | 2 |
| #19132796 | 2 |
| #19132774 | 2 |
| C43×#1415 | 2 |
| #13697 | 43 |