Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
684 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 179 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. C22×C4×D15 | C2 | semidirect |
| 3. C2×C3×C5×C22⋊C4 | C2 | semidirect |
| 4. C2×#6719 | C2 | semidirect |
| 5. C2×#6714 | C2 | semidirect |
| 6. C2×C4⋊Dic15 | C2 | semidirect |
| 7. C2×#6712 | C2 | semidirect |
| 8. #91772 | C2 | direct (N × H) |
| 20. C2×C4×D15 | C22 | semidirect |
| 21. C3×C5×C22⋊C4 | C22 | semidirect |
| 22. #6719 | C22 | semidirect |
| 23. #6714 | C22 | semidirect |
| 24. C4⋊Dic15 | C22 | semidirect |
| 25. #6712 | C22 | semidirect |
| 29. C2×C5×C22⋊C4 | D3 | semidirect |
| 58. C2×C3×C22⋊C4 | D5 | semidirect |
| 75. C5×C22⋊C4 | C2×D3 | semidirect |
| 109. C3×C22⋊C4 | C2×D5 | semidirect |
| 142. C2×C22⋊C4 | D15 | semidirect |
| 144. C2×C3×C5 | #123 | semidirect |
| 202. C22⋊C4 | C2×D15 | semidirect |
| 203. C3×C5 | C2×#123 | semidirect |
| 222. C2×C5 | #883 | semidirect |
| 249. C2×C3 | #4029 | semidirect |
| 254. C5 | C2×#883 | semidirect |
| 272. C3 | C2×#4029 | semidirect |
| 275. C2 | #91772 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#1220 | 2 |
| C22×C4×D15 | 2 |
| C2×C3×C5×C22⋊C4 | 2 |
| C2×#6719 | 2 |
| C2×#6714 | 2 |
| C2×C4⋊Dic15 | 2 |
| C2×#6712 | 2 |
| #91772 | 2 |
| C2×#4029 | 3 |
| C2×#883 | 5 |