Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 141 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×#18012772 | C2 | semidirect |
| 2. C22×#14558993 | C2 | semidirect |
| 4. #23752689 | C2 | semidirect |
| 5. #23752435 | C2 | semidirect |
| 6. #23752413 | C2 | semidirect |
| 7. #23752218 | C2 | semidirect |
| 8. #23752209 | C2 | semidirect |
| 9. #424×C151 | C2 | semidirect |
| 14. C2×Dic604 | C22 | semidirect |
| 17. C2×#14558993 | C22 | semidirect |
| 22. C4×Dic302 | C22 | semidirect |
| 26. #18012664 | C22 | semidirect |
| 28. #18012661 | C22 | semidirect |
| 32. C4⋊C8×C151 | C22 | semidirect |
| 38. C2×Dic302 | D4 | semidirect |
| 116. C151 | #3043 | semidirect |
| 124. #424 | D151 | semidirect |
| 146. C4⋊C8 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012772 | 2 |
| C22×#14558993 | 2 |
| #23752781 | 2 |
| #23752689 | 2 |
| #23752435 | 2 |
| #23752413 | 2 |
| #23752218 | 2 |
| #23752209 | 2 |
| #424×C151 | 2 |
| #3043 | 151 |