Finite Group DatabasebetaFinite Group DatabasebetaOrder 38336.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #34062763 | C2 | semidirect |
| 2. #34062762 | C2 | semidirect |
| 3. #34062748 | C2 | semidirect |
| 4. #34062747 | C2 | semidirect |
| 5. #34062744 | C2 | semidirect |
| 6. #34062736 | C2 | semidirect |
| 7. #34062735 | C2 | semidirect |
| 8. C2×#23751068 | C2 | semidirect |
| 9. Q16×D599 | C2 | semidirect |
| 10. #34062723 | C2 | semidirect |
| 11. #137×C599 | C2 | semidirect |
| 87. C599 | #578 | semidirect |
| 94. #137 | D599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34062763 | 2 |
| #34062762 | 2 |
| #34062748 | 2 |
| #34062747 | 2 |
| #34062744 | 2 |
| #34062736 | 2 |
| #34062735 | 2 |
| C2×#23751068 | 2 |
| Q16×D599 | 2 |
| #34062723 | 2 |
| #137×C599 | 2 |
| #578 | 599 |