Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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×#18012719 | C2 | semidirect |
| 3. #23752556 | C2 | semidirect |
| 4. #23752547 | C2 | semidirect |
| 5. #23752471 | C2 | semidirect |
| 6. #23752457 | C2 | semidirect |
| 7. #23752375 | C2 | semidirect |
| 8. #23752370 | C2 | semidirect |
| 9. #23752350 | C2 | semidirect |
| 10. #23752174 | C2 | semidirect |
| 11. #481×C151 | C2 | semidirect |
| 15. C2×Dic604 | C22 | semidirect |
| 16. C2×#14558992 | C22 | semidirect |
| 32. #18012672 | C22 | semidirect |
| 33. #18012664 | C22 | semidirect |
| 34. #18012662 | C22 | semidirect |
| 35. #18012662 | C22 | semidirect |
| 40. #106×C151 | C22 | semidirect |
| 41. #102×C151 | C22 | semidirect |
| 149. C151 | #3196 | semidirect |
| 155. #481 | D151 | semidirect |
| 185. #106 | C2×D151 | semidirect |
| 189. #102 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752722 | 2 |
| C2×#18012719 | 2 |
| #23752556 | 2 |
| #23752547 | 2 |
| #23752471 | 2 |
| #23752457 | 2 |
| #23752375 | 2 |
| #23752370 | 2 |
| #23752350 | 2 |
| #23752174 | 2 |
| #481×C151 | 2 |
| #3196 | 151 |