Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
264 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 109 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. #23749678 | C2 | semidirect |
| 2. #23749351 | C2 | semidirect |
| 22. C22×C4×C149 | C8 | semidirect |
| 84. C149 | #1458 | semidirect |
| 106. C22×C4 | #11924746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749678 | 2 |
| #23749351 | 2 |
| #23749349 | 2 |
| C2×#117×C149 | 2 |
| #1458 | 149 |