Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
154 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 47 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. #23750068 | C2 | semidirect |
| 3. #23750009 | C2 | semidirect |
| 4. #23749743 | C2 | semidirect |
| 5. #23749442 | C2 | semidirect |
| 6. #23749439 | C2 | semidirect |
| 7. #364×C149 | C2 | semidirect |
| 74. C149 | #2212 | semidirect |
| 80. #364 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750068 | 2 |
| #23750063 | 2 |
| #23750009 | 2 |
| #23749743 | 2 |
| #23749442 | 2 |
| #23749439 | 2 |
| #364×C149 | 2 |
| #2212 | 149 |