Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
408 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 97 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×#18011825 | C2 | semidirect |
| 3. #23749485 | C2 | semidirect |
| 4. C4×C22⋊C4×C149 | C2 | semidirect |
| 5. C22×D596 | C4 | semidirect |
| 12. C2×C4⋊Dic149 | C4 | semidirect |
| 14. C2×#14558713 | C4 | semidirect |
| 47. C22⋊C4×C149 | D4 | semidirect |
| 104. C4×C149 | #99 | semidirect |
| 115. C149 | #1964 | semidirect |
| 120. C4×C22⋊C4 | D149 | semidirect |
| 163. C22⋊C4 | D596 | semidirect |
| 222. C4 | #18011825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011885 | 2 |
| C2×#18011825 | 2 |
| #23749485 | 2 |
| C4×C22⋊C4×C149 | 2 |
| #1964 | 149 |