Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
258 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 85 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. D8×C43⋊C8 | C2 | semidirect |
| 3. #19133389 | C2 | semidirect |
| 4. #19132666 | C2 | semidirect |
| 5. #19132557 | C2 | semidirect |
| 6. C16×C43⋊C8 | C2 | semidirect |
| 7. C43×#1331 | C2 | semidirect |
| 27. #13063266 | C8 | semidirect |
| 49. D8×C43 | C2×C8 | semidirect |
| 64. D344 | C2×C8 | semidirect |
| 68. C43⋊C16 | C2×C8 | semidirect |
| 91. C43⋊C8 | D16 | semidirect |
| 112. #1331 | D43 | semidirect |
| 134. C43 | C8×D16 | semidirect |
| 163. D8 | C8×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063266 | 2 |
| D8×C43⋊C8 | 2 |
| #19133389 | 2 |
| #19132666 | 2 |
| #19132557 | 2 |
| C16×C43⋊C8 | 2 |
| C43×#1331 | 2 |
| C8×D16 | 43 |