Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
408 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 1. C5×#4843 | C2 | semidirect |
| 2. #11747039 | C2 | semidirect |
| 3. #11747033 | C2 | semidirect |
| 4. #11746998 | C2 | semidirect |
| 5. #11746300 | C2 | semidirect |
| 6. C3×#64705 | C2 | semidirect |
| 7. #11745853 | C2 | semidirect |
| 30. #64705 | D3 | semidirect |
| 55. #4843 | D5 | semidirect |
| 89. C5×D12 | D8 | semidirect |
| 100. C3⋊#168 | D8 | semidirect |
| 247. D12 | #686 | semidirect |
| 292. C3×C5 | #1667 | semidirect |
| 347. C5 | #68395 | semidirect |
| 364. C3 | #10601798 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4843 | 2 |
| #11747039 | 2 |
| #11747033 | 2 |
| #11746998 | 2 |
| #11746300 | 2 |
| C3×#64705 | 2 |
| #11745853 | 2 |
| #10601798 | 3 |
| #68395 | 5 |