Finite Group DatabasebetaFinite Group DatabasebetaOrder 17984.
310 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 155 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. #22582844 | C2 | semidirect |
| 3. #22582841 | C2 | semidirect |
| 4. #22582839 | C2 | semidirect |
| 5. #22582836 | C2 | semidirect |
| 6. C2×C4×Dic281 | C2 | semidirect |
| 7. C42×D281 | C2 | semidirect |
| 8. #117×C281 | C2 | semidirect |
| 9. #17985138 | C4 | semidirect |
| 27. Dic562 | C2×C4 | semidirect |
| 28. D1124 | C2×C4 | semidirect |
| 29. C22⋊D281 | C2×C4 | semidirect |
| 35. C4×D281 | C2×C4 | semidirect |
| 37. C2×C4×C281 | C2×C4 | semidirect |
| 51. Dic281 | #41 | semidirect |
| 56. C281 | C4×#41 | semidirect |
| 63. #117 | D281 | semidirect |
| 94. C2×C4 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17985138 | 2 |
| #22582844 | 2 |
| #22582841 | 2 |
| #22582839 | 2 |
| #22582836 | 2 |
| C2×C4×Dic281 | 2 |
| C42×D281 | 2 |
| #117×C281 | 2 |
| C4×#41 | 281 |