Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
348 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 162 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. #23750677 | C2 | semidirect |
| 2. #23750675 | C2 | semidirect |
| 27. D149⋊C8 | Q8 | semidirect |
| 73. C149 | #2961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750677 | 2 |
| #23750675 | 2 |
| #23750632 | 2 |
| #23750629 | 2 |
| #23750590 | 2 |
| #23750584 | 2 |
| #23750181 | 2 |
| #2961 | 149 |