Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
510 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#14582699 | C2 | semidirect |
| 3. C2×C16×Dic43 | C2 | semidirect |
| 4. #19135459 | C2 | semidirect |
| 5. C2×C43×#366 | C2 | semidirect |
| 9. C2×D688 | C4 | semidirect |
| 71. C16×C43 | C22⋊C4 | semidirect |
| 89. C2×Dic43 | D16 | semidirect |
| 117. C2×#366 | D43 | semidirect |
| 140. C43 | #13235 | semidirect |
| 194. C16 | (C2×D43)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D688 | 2 |
| C2×#14582699 | 2 |
| C2×C16×Dic43 | 2 |
| #19135459 | 2 |
| C2×C43×#366 | 2 |
| #13235 | 43 |