Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#18012765 | C2 | semidirect |
| 2. C2×#18012761 | C2 | semidirect |
| 3. #23752779 | C2 | semidirect |
| 4. #23752693 | C2 | semidirect |
| 5. #23752433 | C2 | semidirect |
| 6. #23752426 | C2 | semidirect |
| 7. #23752411 | C2 | semidirect |
| 8. #23752406 | C2 | semidirect |
| 9. #23752238 | C2 | semidirect |
| 10. #23752211 | C2 | semidirect |
| 11. C2×#102×C151 | C2 | semidirect |
| 16. C2×Dic604 | C22 | semidirect |
| 17. C2×#14558993 | C22 | semidirect |
| 18. C2×#14558993 | C22 | semidirect |
| 20. C2×D1208 | C22 | semidirect |
| 28. #18012704 | C22 | semidirect |
| 29. #18012701 | C22 | semidirect |
| 34. Dic151⋊C8 | C22 | semidirect |
| 35. Dic151⋊C8 | C22 | semidirect |
| 36. #18012662 | C22 | semidirect |
| 37. #18012659 | C22 | semidirect |
| 46. #14559004 | D4 | semidirect |
| 154. C151 | #3045 | semidirect |
| 166. C2×#102 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012765 | 2 |
| C2×#18012761 | 2 |
| #23752779 | 2 |
| #23752693 | 2 |
| #23752433 | 2 |
| #23752426 | 2 |
| #23752411 | 2 |
| #23752406 | 2 |
| #23752238 | 2 |
| #23752211 | 2 |
| C2×#102×C151 | 2 |
| #3045 | 151 |