Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
224 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 62 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. D149⋊M32 | C2 | semidirect |
| 2. #23750635 | C2 | semidirect |
| 3. #23750541 | C2 | semidirect |
| 6. #18011986 | C22 | semidirect |
| 10. #18011979 | C22 | semidirect |
| 14. #18011930 | C4 | semidirect |
| 16. C2×Dic596 | C4 | semidirect |
| 19. C2×D8×C149 | C4 | semidirect |
| 84. C149 | #2145 | semidirect |
| 97. C2×D8 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D149⋊M32 | 2 |
| #23750635 | 2 |
| #23750541 | 2 |
| C2×#18011930 | 2 |
| #2145 | 149 |