Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
390 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 390 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×Q8×Dic151 | C2 | semidirect |
| 3. #23752543 | C2 | semidirect |
| 5. #23752517 | C2 | semidirect |
| 6. #23752432 | C2 | semidirect |
| 7. #23752368 | C2 | semidirect |
| 8. #23752304 | C2 | semidirect |
| 9. SD16×Dic151 | C2 | semidirect |
| 10. #23752262 | C2 | semidirect |
| 131. C151 | #3108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752743 | 2 |
| C2×Q8×Dic151 | 2 |
| #23752543 | 2 |
| #23752523 | 2 |
| #23752517 | 2 |
| #23752432 | 2 |
| #23752368 | 2 |
| #23752304 | 2 |
| SD16×Dic151 | 2 |
| #23752262 | 2 |
| #448×C151 | 2 |
| #3108 | 151 |