Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
350 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 4. #19132654 | C2 | semidirect |
| 5. #19132653 | C2 | semidirect |
| 6. #19132652 | C2 | semidirect |
| 7. C43×#1365 | C2 | semidirect |
| 129. #1365 | D43 | direct (N × H) |
| 133. D43 | #1365 | direct (N × H) |
| 151. C43 | C2×#1365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #500×D43 | 2 |
| C4⋊C16×D43 | 2 |
| #335×D43 | 2 |
| #19132654 | 2 |
| #19132653 | 2 |
| #19132652 | 2 |
| C43×#1365 | 2 |
| C2×#1365 | 43 |