Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 57 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. #23752306 | C2 | semidirect |
| 4. #23752037 | C2 | semidirect |
| 5. #23752017 | C2 | semidirect |
| 6. #23751987 | C2 | semidirect |
| 11. #18012683 | C4 | semidirect |
| 23. Dic604 | C2×C4 | semidirect |
| 30. C151⋊C16 | C2×C4 | semidirect |
| 67. C151 | #2175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012683 | 2 |
| #23752306 | 2 |
| D8×Dic151 | 2 |
| #23752037 | 2 |
| #23752017 | 2 |
| #23751987 | 2 |
| #357×C151 | 2 |
| #2175 | 151 |