Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
432 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 117 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. C22×C8×D149 | C2 | semidirect |
| 3. C2×C22⋊#11924746 | C2 | semidirect |
| 4. C2×#18011823 | C2 | semidirect |
| 5. #23749379 | C2 | semidirect |
| 6. #23749379 | C2 | semidirect |
| 7. C2×C22⋊C8×C149 | C2 | semidirect |
| 30. C2×C22⋊D149 | C8 | semidirect |
| 45. C2×#11924746 | D4 | semidirect |
| 66. C2×C8×C149 | D4 | semidirect |
| 83. C2×Dic149 | C2×C8 | semidirect |
| 96. C23×C149 | C2×C8 | semidirect |
| 133. C2×D149 | C22⋊C8 | semidirect |
| 151. C149 | #1869 | semidirect |
| 157. C2×C22⋊C8 | D149 | semidirect |
| 213. C2×C8 | C22⋊D149 | semidirect |
| 232. C23 | C8×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D149 | 2 |
| C2×C4×C22⋊D149 | 2 |
| C2×C22⋊#11924746 | 2 |
| C2×#18011823 | 2 |
| #23749379 | 2 |
| C2×C22⋊C8×C149 | 2 |
| #1869 | 149 |