Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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. #23750345 | C2 | semidirect |
| 2. D4×Dic298 | C2 | semidirect |
| 3. #23749983 | C2 | semidirect |
| 4. #23749976 | C2 | semidirect |
| 5. #23749919 | C2 | semidirect |
| 6. #23749905 | C2 | semidirect |
| 8. #23749830 | C2 | semidirect |
| 9. #23749755 | C2 | semidirect |
| 10. #23749722 | C2 | semidirect |
| 122. C149 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750345 | 2 |
| D4×Dic298 | 2 |
| #23749983 | 2 |
| #23749976 | 2 |
| #23749919 | 2 |
| #23749905 | 2 |
| #23749838 | 2 |
| #23749830 | 2 |
| #23749755 | 2 |
| #23749722 | 2 |
| C4×D8×C149 | 2 |
| #3367 | 149 |