Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 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 |
|---|---|---|
| 1. C2×#18012758 | C2 | semidirect |
| 2. C22×C8×D151 | C2 | semidirect |
| 3. #23752722 | C2 | semidirect |
| 4. #23752454 | C2 | semidirect |
| 5. #23752453 | C2 | semidirect |
| 6. #23752445 | C2 | semidirect |
| 7. #23752440 | C2 | semidirect |
| 8. #23752439 | C2 | semidirect |
| 9. #23752249 | C2 | semidirect |
| 10. #23752205 | C2 | semidirect |
| 11. #466×C151 | C2 | semidirect |
| 15. C2×Dic604 | C22 | semidirect |
| 16. C2×#14558992 | C22 | semidirect |
| 31. #18012673 | C22 | semidirect |
| 32. #18012670 | C22 | semidirect |
| 33. #18012664 | C22 | semidirect |
| 34. #18012662 | C22 | semidirect |
| 35. #18012660 | C22 | semidirect |
| 36. C2×D8×C151 | C22 | semidirect |
| 39. #107×C151 | C22 | semidirect |
| 40. #102×C151 | C22 | semidirect |
| 63. C8×D151 | D4 | semidirect |
| 121. C22×C151 | #135 | semidirect |
| 129. C2×D151 | #135 | semidirect |
| 145. C151 | #3050 | semidirect |
| 153. #466 | D151 | semidirect |
| 163. C2×D8 | C2×D151 | semidirect |
| 181. #107 | C2×D151 | semidirect |
| 186. #102 | C2×D151 | semidirect |
| 274. C22 | #18012758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012758 | 2 |
| C22×C8×D151 | 2 |
| #23752722 | 2 |
| #23752454 | 2 |
| #23752453 | 2 |
| #23752445 | 2 |
| #23752440 | 2 |
| #23752439 | 2 |
| #23752249 | 2 |
| #23752205 | 2 |
| #466×C151 | 2 |
| #3050 | 151 |