Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
400 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 210 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×#18011986 | C2 | semidirect |
| 2. D149⋊M32 | C2 | direct (N × H) |
| 3. C2×#18011985 | C2 | semidirect |
| 4. C2×D149⋊C16 | C2 | semidirect |
| 6. #18011986 | C22 | semidirect |
| 7. #18011985 | C22 | semidirect |
| 8. D149⋊C16 | C22 | semidirect |
| 9. C2×#14558739 | C22 | semidirect |
| 19. #14558739 | C23 | semidirect |
| 70. C2×D149 | M32 | semidirect |
| 79. C2×C149 | C2×M32 | semidirect |
| 82. D149 | C2×M32 | semidirect |
| 83. C149 | C22×M32 | semidirect |
| 165. C2 | D149⋊M32 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011986 | 2 |
| D149⋊M32 | 2 |
| C2×#18011985 | 2 |
| C2×D149⋊C16 | 2 |
| C22×C8×D149 | 2 |
| C22×M32 | 149 |