Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #23752506 | C2 | semidirect |
| 3. #23752505 | C2 | semidirect |
| 6. #23752421 | C2 | semidirect |
| 7. #23752420 | C2 | semidirect |
| 70. C2×Dic151 | Q16 | semidirect |
| 102. C151 | #3249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| #23752506 | 2 |
| #23752505 | 2 |
| #23752453 | 2 |
| #23752451 | 2 |
| #23752421 | 2 |
| #23752420 | 2 |
| C2×Dic151⋊C8 | 2 |
| #467×C151 | 2 |
| #3249 | 151 |