Finite Group DatabasebetaFinite Group DatabasebetaOrder 18112.
158 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 45 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×Q8×D283 | C2 | semidirect |
| 2. C2×#17985381 | C2 | semidirect |
| 3. C2×#17985379 | C2 | semidirect |
| 5. #22583533 | C2 | semidirect |
| 6. (C2×D283)⋊C8 | C2 | semidirect |
| 7. #103×C283 | C2 | semidirect |
| 27. Dic566 | D4 | semidirect |
| 38. Q8×C283 | D4 | semidirect |
| 49. C2×D283 | SD16 | semidirect |
| 61. C283 | #448 | semidirect |
| 68. #103 | D283 | semidirect |
| 91. Q8 | D1132 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D283 | 2 |
| C2×#17985381 | 2 |
| C2×#17985379 | 2 |
| #22583585 | 2 |
| #22583533 | 2 |
| (C2×D283)⋊C8 | 2 |
| #103×C283 | 2 |
| #448 | 283 |