Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
480 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#18011911 | C2 | semidirect |
| 4. #23749836 | C2 | semidirect |
| 5. #23749831 | C2 | semidirect |
| 6. #23749635 | C2 | semidirect |
| 7. #423×C149 | C2 | semidirect |
| 87. C4×C149 | #137 | semidirect |
| 97. C149 | #3039 | semidirect |
| 104. #423 | D149 | semidirect |
| 188. C4 | #18011944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011944 | 2 |
| C2×#18011911 | 2 |
| C4×#14558736 | 2 |
| #23749836 | 2 |
| #23749831 | 2 |
| #23749635 | 2 |
| #423×C149 | 2 |
| #3039 | 149 |