Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
166 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 49 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. #23750003 | C2 | semidirect |
| 5. #23749443 | C2 | semidirect |
| 6. #23749428 | C2 | semidirect |
| 7. #358×C149 | C2 | semidirect |
| 68. Dic149 | SD32 | semidirect |
| 73. C149 | #2208 | semidirect |
| 81. #358 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011856 | 2 |
| C2×#18011854 | 2 |
| #23750003 | 2 |
| #23749707 | 2 |
| #23749443 | 2 |
| #23749428 | 2 |
| #358×C149 | 2 |
| #2208 | 149 |