Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
764 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 293 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. C22×#14558720 | C2 | semidirect |
| 2. #23749592 | C2 | semidirect |
| 3. #23749589 | C2 | semidirect |
| 7. C2×#14558720 | C22 | semidirect |
| 8. C22×#11924746 | C22 | semidirect |
| 9. C22⋊#11924746 | C22 | semidirect |
| 83. C149 | #2879 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558720 | 2 |
| #23749592 | 2 |
| #23749589 | 2 |
| C22×#41×C149 | 2 |
| #2879 | 149 |