Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
160 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 55 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. #23750023 | C2 | semidirect |
| 5. #23749373 | C2 | semidirect |
| 6. #23749372 | C2 | semidirect |
| 7. #335×C149 | C2 | semidirect |
| 59. C8×C149 | SD16 | semidirect |
| 76. C149 | #1691 | semidirect |
| 82. #335 | D149 | semidirect |
| 136. C8 | #14558725 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750023 | 2 |
| #23749916 | 2 |
| #23749831 | 2 |
| #23749704 | 2 |
| #23749373 | 2 |
| #23749372 | 2 |
| #335×C149 | 2 |
| #1691 | 149 |