Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 2. #23749663 | C2 | semidirect |
| 3. #23749453 | C2 | semidirect |
| 4. #23749451 | C2 | semidirect |
| 5. #23749427 | C2 | semidirect |
| 6. #23749427 | C2 | semidirect |
| 7. C22⋊C16×C149 | C2 | semidirect |
| 69. C149 | #2234 | semidirect |
| 77. C22⋊C16 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749861 | 2 |
| #23749663 | 2 |
| #23749453 | 2 |
| #23749451 | 2 |
| #23749427 | 2 |
| C22⋊C16×C149 | 2 |
| #2234 | 149 |