Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#18012762 | C2 | semidirect |
| 2. #23752881 | C2 | semidirect |
| 3. #23752587 | C2 | semidirect |
| 4. #23752448 | C2 | semidirect |
| 5. #23752445 | C2 | semidirect |
| 6. #23752410 | C2 | semidirect |
| 7. #23752357 | C2 | semidirect |
| 8. #23752356 | C2 | semidirect |
| 9. Q16×Dic151 | C2 | semidirect |
| 10. C8×C22⋊D151 | C2 | semidirect |
| 11. C2×#135×C151 | C2 | semidirect |
| 74. Q16×C151 | D4 | semidirect |
| 134. Dic151 | #135 | semidirect |
| 142. C151 | #3287 | semidirect |
| 145. C2×#135 | D151 | semidirect |
| 202. Q16 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012762 | 2 |
| #23752881 | 2 |
| #23752587 | 2 |
| #23752448 | 2 |
| #23752445 | 2 |
| #23752410 | 2 |
| #23752357 | 2 |
| #23752356 | 2 |
| Q16×Dic151 | 2 |
| C8×C22⋊D151 | 2 |
| C2×#135×C151 | 2 |
| #3287 | 151 |