Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 88 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. #11746943 | C2 | semidirect |
| 4. #11746861 | C2 | semidirect |
| 5. #11746307 | C2 | semidirect |
| 6. C5×#4479 | C2 | semidirect |
| 57. #4479 | D5 | semidirect |
| 94. C5×C3⋊C8 | SD16 | semidirect |
| 227. C3⋊C8 | #677 | semidirect |
| 259. C3×C5 | #1686 | semidirect |
| 301. C5 | #71024 | semidirect |
| 314. C3 | #10599385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65137 | 2 |
| #11747071 | 2 |
| #11746943 | 2 |
| #11746861 | 2 |
| #11746307 | 2 |
| C5×#4479 | 2 |
| #11745852 | 2 |
| #10599385 | 3 |
| #71024 | 5 |