Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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. C2×#18011941 | C2 | semidirect |
| 2. #23750196 | C2 | semidirect |
| 3. #23749642 | C2 | semidirect |
| 4. #23749635 | C2 | semidirect |
| 5. #23749599 | C2 | semidirect |
| 6. #23749396 | C2 | semidirect |
| 136. C149 | #2009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011941 | 2 |
| #23750196 | 2 |
| #23749642 | 2 |
| #23749635 | 2 |
| #23749599 | 2 |
| #23749396 | 2 |
| #575×C149 | 2 |
| #2009 | 149 |