Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 324 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. #11750974 | C2 | semidirect |
| 4. C5×#4490 | C2 | semidirect |
| 6. #11745902 | C2 | semidirect |
| 7. #11745872 | C2 | semidirect |
| 20. #90942 | C4 | semidirect |
| 39. Dic60 | C2×C4 | semidirect |
| 45. C5×C3⋊C16 | C2×C4 | semidirect |
| 52. #4490 | D5 | semidirect |
| 126. Dic15 | SD32 | semidirect |
| 144. C3⋊C16 | C4×D5 | semidirect |
| 219. C3×C5 | C4×SD32 | semidirect |
| 254. C5 | #69175 | semidirect |
| 266. C3 | #10600130 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750974 | 2 |
| #11747809 | 2 |
| C2×#90942 | 2 |
| C5×#4490 | 2 |
| C3×#64711 | 2 |
| #11745902 | 2 |
| #11745872 | 2 |
| #10600130 | 3 |
| #69175 | 5 |