Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 2. C4⋊Q8×D151 | C2 | semidirect |
| 4. #23752423 | C2 | semidirect |
| 5. #23752421 | C2 | semidirect |
| 6. #23752419 | C2 | semidirect |
| 7. #23752417 | C2 | semidirect |
| 8. #23752415 | C2 | semidirect |
| 9. #23752234 | C2 | semidirect |
| 10. #23752219 | C2 | semidirect |
| 11. #461×C151 | C2 | semidirect |
| 131. C4×C151 | #137 | semidirect |
| 139. Dic151 | #137 | semidirect |
| 145. C151 | #3039 | semidirect |
| 155. #461 | D151 | semidirect |
| 283. C4 | #18012768 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012768 | 2 |
| C4⋊Q8×D151 | 2 |
| C4×#14559003 | 2 |
| #23752423 | 2 |
| #23752421 | 2 |
| #23752419 | 2 |
| #23752417 | 2 |
| #23752415 | 2 |
| #23752234 | 2 |
| #23752219 | 2 |
| #461×C151 | 2 |
| #3039 | 151 |