Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
200 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 94 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. #23750487 | C2 | semidirect |
| 3. #23750486 | C2 | semidirect |
| 23. C8×D149 | C8 | semidirect |
| 40. #11924746 | C2×C8 | semidirect |
| 45. C8×C149 | C2×C8 | semidirect |
| 60. D149 | #334 | semidirect |
| 61. C149 | C2×#334 | semidirect |
| 107. C8 | D149⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D149⋊(C4⋊C8) | 2 |
| #23750487 | 2 |
| #23750486 | 2 |
| C4×C8×D149 | 2 |
| C2×#334 | 149 |