Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #23750353 | C2 | semidirect |
| 3. #23749976 | C2 | semidirect |
| 4. #23749974 | C2 | semidirect |
| 5. #23749910 | C2 | semidirect |
| 6. #23749909 | C2 | semidirect |
| 9. C8×Dic298 | C2 | semidirect |
| 78. Dic298 | SD16 | semidirect |
| 118. C149 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750353 | 2 |
| D4×Dic298 | 2 |
| #23749976 | 2 |
| #23749974 | 2 |
| #23749910 | 2 |
| #23749909 | 2 |
| #23749830 | 2 |
| #23749828 | 2 |
| C8×Dic298 | 2 |
| #23749716 | 2 |
| C4×SD16×C149 | 2 |
| #3359 | 149 |