Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #23752769 | C2 | semidirect |
| 3. #23752503 | C2 | semidirect |
| 4. #23752498 | C2 | semidirect |
| 5. #23752441 | C2 | semidirect |
| 6. #23752418 | C2 | semidirect |
| 7. #23752413 | C2 | semidirect |
| 8. C2×C4⋊C8×C151 | C2 | semidirect |
| 82. C2×C4×C151 | SD16 | semidirect |
| 112. C151 | #3246 | semidirect |
| 121. C2×C4⋊C8 | D151 | semidirect |
| 195. C2×C4 | #14558993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752762 | 2 |
| #23752503 | 2 |
| #23752498 | 2 |
| #23752441 | 2 |
| #23752418 | 2 |
| #23752413 | 2 |
| C2×C4⋊C8×C151 | 2 |
| #3246 | 151 |