Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×Dic604 | C2 | semidirect |
| 2. C2×Q16×D151 | C2 | semidirect |
| 4. #23752590 | C2 | semidirect |
| 5. #23752454 | C2 | semidirect |
| 6. #23752421 | C2 | semidirect |
| 7. #23752369 | C2 | semidirect |
| 8. #23752367 | C2 | semidirect |
| 9. #23752306 | C2 | semidirect |
| 11. #467×C151 | C2 | semidirect |
| 55. Dic604 | D4 | semidirect |
| 87. C22⋊D151 | Q16 | semidirect |
| 112. C22×C151 | C2×Q16 | semidirect |
| 116. C2×D151 | C2×Q16 | semidirect |
| 126. Dic151 | C2×Q16 | semidirect |
| 132. C151 | D4×Q16 | semidirect |
| 139. #467 | D151 | semidirect |
| 248. C22 | Q16×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic604 | 2 |
| C2×Q16×D151 | 2 |
| #23752875 | 2 |
| #23752590 | 2 |
| #23752454 | 2 |
| #23752421 | 2 |
| #23752369 | 2 |
| #23752367 | 2 |
| #23752306 | 2 |
| C8×C22⋊D151 | 2 |
| #467×C151 | 2 |
| D4×Q16 | 151 |