Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
424 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 424 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. #23752526 | C2 | semidirect |
| 4. #23752523 | C2 | semidirect |
| 5. #23752505 | C2 | semidirect |
| 6. #23752410 | C2 | semidirect |
| 7. #23752351 | C2 | semidirect |
| 8. #23752315 | C2 | semidirect |
| 9. #23752313 | C2 | semidirect |
| 10. #23752266 | C2 | semidirect |
| 11. #448×C151 | C2 | semidirect |
| 104. Q8×C151 | #41 | semidirect |
| 140. C151 | #3112 | semidirect |
| 149. #448 | D151 | semidirect |
| 229. Q8 | #14559003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752757 | 2 |
| C2×Q8×Dic151 | 2 |
| #23752526 | 2 |
| #23752523 | 2 |
| #23752505 | 2 |
| #23752410 | 2 |
| #23752351 | 2 |
| #23752315 | 2 |
| #23752313 | 2 |
| #23752266 | 2 |
| #448×C151 | 2 |
| #3112 | 151 |