Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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. #23749702 | C2 | semidirect |
| 3. #23749690 | C2 | semidirect |
| 4. #23749352 | C2 | semidirect |
| 5. #23749352 | C2 | semidirect |
| 6. #23749347 | C2 | semidirect |
| 7. #335×C149 | C2 | semidirect |
| 47. D596 | M16 | semidirect |
| 56. #11924746 | D8 | semidirect |
| 83. C149 | #1581 | semidirect |
| 88. #335 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D1192 | 2 |
| #23749702 | 2 |
| #23749690 | 2 |
| #23749352 | 2 |
| #23749347 | 2 |
| #335×C149 | 2 |
| #1581 | 149 |