Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 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. #23752695 | C2 | semidirect |
| 3. #23752554 | C2 | semidirect |
| 4. #23752548 | C2 | semidirect |
| 5. #23752537 | C2 | semidirect |
| 6. #23752526 | C2 | semidirect |
| 7. #23752254 | C2 | semidirect |
| 8. C2×#18012673 | C2 | semidirect |
| 9. #23752214 | C2 | semidirect |
| 10. #23752209 | C2 | semidirect |
| 11. #408×C151 | C2 | semidirect |
| 133. C151 | #3098 | semidirect |
| 145. #408 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752790 | 2 |
| #23752695 | 2 |
| #23752554 | 2 |
| #23752548 | 2 |
| #23752537 | 2 |
| #23752526 | 2 |
| #23752254 | 2 |
| C2×#18012673 | 2 |
| #23752214 | 2 |
| #23752209 | 2 |
| #408×C151 | 2 |
| #3098 | 151 |