Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#18012737 | C2 | semidirect |
| 3. #23752583 | C2 | semidirect |
| 4. #23752561 | C2 | semidirect |
| 5. #23752416 | C2 | semidirect |
| 6. #23752415 | C2 | semidirect |
| 7. #23752353 | C2 | semidirect |
| 8. #23752351 | C2 | semidirect |
| 9. #23752350 | C2 | semidirect |
| 10. #23752262 | C2 | semidirect |
| 11. #448×C151 | C2 | semidirect |
| 99. C2×Dic151 | SD16 | semidirect |
| 146. C151 | #3206 | semidirect |
| 157. #448 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752757 | 2 |
| C2×#18012737 | 2 |
| #23752583 | 2 |
| #23752561 | 2 |
| #23752416 | 2 |
| #23752415 | 2 |
| #23752353 | 2 |
| #23752351 | 2 |
| #23752350 | 2 |
| #23752262 | 2 |
| #448×C151 | 2 |
| #3206 | 151 |