Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
356 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 141 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. #23750030 | C2 | semidirect |
| 3. #23749961 | C2 | semidirect |
| 4. #23749921 | C2 | semidirect |
| 5. #23749866 | C2 | semidirect |
| 6. C4×Dic596 | C2 | semidirect |
| 7. C2×#18011845 | C2 | semidirect |
| 57. D4×C149 | Q16 | semidirect |
| 83. C149 | #3338 | semidirect |
| 137. D4 | Dic596 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750332 | 2 |
| #23750030 | 2 |
| #23749961 | 2 |
| #23749921 | 2 |
| #23749866 | 2 |
| C4×Dic596 | 2 |
| C2×#18011845 | 2 |
| C8×D4×C149 | 2 |
| #3338 | 149 |