Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
376 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 2. C2×C5×#214 | C2 | semidirect |
| 3. #91383 | C2 | semidirect |
| 4. C2×#6660 | C2 | semidirect |
| 5. C3×#3964 | C2 | semidirect |
| 6. #90968 | C2 | semidirect |
| 7. #90957 | C2 | semidirect |
| 16. C2×C5×Dic6 | C22 | semidirect |
| 18. C2×C5×C3⋊C8 | C22 | semidirect |
| 19. C3×C4⋊Dic5 | C22 | semidirect |
| 20. C2×C3×#168 | C22 | semidirect |
| 29. #3964 | D3 | semidirect |
| 54. C2×#214 | D5 | semidirect |
| 72. C4⋊Dic5 | C2×D3 | semidirect |
| 74. C2×#168 | C2×D3 | semidirect |
| 86. C2×D15 | SD16 | semidirect |
| 99. C2×Dic6 | C2×D5 | semidirect |
| 105. C2×C3⋊C8 | C2×D5 | semidirect |
| 193. C3×C5 | #450 | semidirect |
| 243. C5 | #4776 | semidirect |
| 260. C3 | #65458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×D15 | 2 |
| C2×C5×#214 | 2 |
| #91383 | 2 |
| C2×#6660 | 2 |
| C3×#3964 | 2 |
| #90968 | 2 |
| #90957 | 2 |
| #65458 | 3 |
| #4776 | 5 |