Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
252 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 9. #18011903 | C4 | semidirect |
| 10. #18011902 | C4 | semidirect |
| 15. #125×C149 | C4 | semidirect |
| 63. C149 | #1991 | semidirect |
| 73. #125 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D149⋊C8 | 2 |
| #23750569 | 2 |
| #23750498 | 2 |
| #125×D149 | 2 |
| #1991 | 149 |