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. C3×#4043 | C2 | semidirect |
| 3. C2×#6658 | C2 | semidirect |
| 4. C2×#6656 | C2 | semidirect |
| 5. #91093 | C2 | semidirect |
| 6. C5×#809 | C2 | semidirect |
| 7. #90955 | C2 | semidirect |
| 13. C2×C3×Dic10 | C22 | semidirect |
| 17. C3×C5×C4⋊C4 | C22 | semidirect |
| 18. C2×C3⋊#168 | C22 | semidirect |
| 19. C2×C5×C3⋊C8 | C22 | semidirect |
| 28. #4043 | D3 | semidirect |
| 59. #809 | D5 | semidirect |
| 67. C2×Dic10 | C2×D3 | semidirect |
| 69. C5×C4⋊C4 | C2×D3 | semidirect |
| 85. C2×C3×D5 | SD16 | semidirect |
| 101. C3×C4⋊C4 | C2×D5 | semidirect |
| 106. C2×C3⋊C8 | C2×D5 | semidirect |
| 172. C2×D5 | #215 | semidirect |
| 191. C4⋊C4 | D3×D5 | semidirect |
| 193. C3×C5 | #450 | semidirect |
| 243. C5 | #5046 | semidirect |
| 260. C3 | #65065 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×D12 | 2 |
| C3×#4043 | 2 |
| C2×#6658 | 2 |
| C2×#6656 | 2 |
| #91093 | 2 |
| C5×#809 | 2 |
| #90955 | 2 |
| #65065 | 3 |
| #5046 | 5 |