Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 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. #23752507 | C2 | semidirect |
| 3. #23752504 | C2 | semidirect |
| 5. #23752422 | C2 | semidirect |
| 6. #23752419 | C2 | semidirect |
| 78. C2×C4×C151 | Q16 | semidirect |
| 104. C151 | #3249 | semidirect |
| 182. C2×C4 | #14558994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752507 | 2 |
| #23752504 | 2 |
| #23752451 | 2 |
| #23752422 | 2 |
| #23752419 | 2 |
| C2×C4⋊(C151⋊C8) | 2 |
| #533×C151 | 2 |
| #3249 | 151 |