Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
364 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 185 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. #23752341 | C2 | semidirect |
| 3. #23752336 | C2 | semidirect |
| 33. C2×C151⋊C8 | Q8 | semidirect |
| 83. C151 | #2960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752765 | 2 |
| #23752341 | 2 |
| #23752336 | 2 |
| #23752238 | 2 |
| #23752235 | 2 |
| #23752170 | 2 |
| #23752168 | 2 |
| C2×C8×Dic151 | 2 |
| #424×C151 | 2 |
| #2960 | 151 |