Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
124 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 1. #11744985 | C2 | semidirect |
| 2. C3×#64541 | C2 | semidirect |
| 3. C2×C19×C3⋊C8 | C2 | semidirect |
| 4. #11744828 | C2 | semidirect |
| 5. #11744824 | C2 | semidirect |
| 6. #11744823 | C2 | semidirect |
| 7. #11744819 | C2 | semidirect |
| 21. #64541 | D3 | semidirect |
| 57. C3×C19 | #135 | semidirect |
| 64. C2×C3⋊C8 | D19 | semidirect |
| 81. C19 | #950 | semidirect |
| 118. C3 | #10597350 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11744985 | 2 |
| C3×#64541 | 2 |
| C2×C19×C3⋊C8 | 2 |
| #11744828 | 2 |
| #11744824 | 2 |
| #11744823 | 2 |
| #11744819 | 2 |
| #10597350 | 3 |
| #950 | 19 |