Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1144 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 200 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. C2×#91279 | C2 | semidirect |
| 2. #11752559 | C2 | semidirect |
| 3. C4×C8×D15 | C2 | semidirect |
| 4. C5×#4695 | C2 | semidirect |
| 5. C3×#64988 | C2 | semidirect |
| 6. #11747982 | C2 | semidirect |
| 7. #11747081 | C2 | semidirect |
| 30. #64988 | D3 | semidirect |
| 45. C8×D15 | D4 | semidirect |
| 56. #4695 | D5 | semidirect |
| 136. C3×C4×C5 | #135 | semidirect |
| 216. C4×C5 | #919 | semidirect |
| 240. C3×C5 | #3147 | semidirect |
| 247. C3×C4 | #4058 | semidirect |
| 275. C5 | #81799 | semidirect |
| 284. C4 | #91279 | semidirect |
| 286. C3 | #10613513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91279 | 2 |
| #11752559 | 2 |
| C4×C8×D15 | 2 |
| C5×#4695 | 2 |
| C3×#64988 | 2 |
| #11747982 | 2 |
| #11747081 | 2 |
| #10613513 | 3 |
| #81799 | 5 |