Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 68 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×C8×D15 | C2 | semidirect |
| 2. C2×C3×#677 | C2 | semidirect |
| 4. #91390 | C2 | semidirect |
| 5. C5×#817 | C2 | semidirect |
| 6. #90970 | C2 | semidirect |
| 7. #90964 | C2 | semidirect |
| 23. C2×#677 | D3 | semidirect |
| 44. C3×C5×C8 | D4 | semidirect |
| 52. #817 | D5 | semidirect |
| 70. C2×D15 | SD16 | semidirect |
| 107. C5×C8 | #67 | semidirect |
| 135. C3×C8 | D20 | semidirect |
| 163. C3×C5 | #465 | semidirect |
| 197. C8 | #1202 | semidirect |
| 203. C5 | #5171 | semidirect |
| 217. C3 | #65153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×D15 | 2 |
| C2×C3×#677 | 2 |
| #91465 | 2 |
| #91390 | 2 |
| C5×#817 | 2 |
| #90970 | 2 |
| #90964 | 2 |
| #65153 | 3 |
| #5171 | 5 |