Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
132 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 3. #23749453 | C2 | semidirect |
| 4. #23749450 | C2 | semidirect |
| 5. #23749429 | C2 | semidirect |
| 7. #358×C149 | C2 | semidirect |
| 65. C149 | #2237 | semidirect |
| 72. #358 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749863 | 2 |
| #23749662 | 2 |
| #23749453 | 2 |
| #23749450 | 2 |
| #23749429 | 2 |
| #23749404 | 2 |
| #358×C149 | 2 |
| #2237 | 149 |