Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
376 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 73 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×#6716 | C2 | semidirect |
| 3. C2×#6706 | C2 | semidirect |
| 4. #91786 | C2 | semidirect |
| 5. C3×C5×#102 | C2 | semidirect |
| 6. #91104 | C2 | semidirect |
| 7. #91093 | C2 | semidirect |
| 16. C2×Dic30 | C22 | semidirect |
| 17. C2×C3×C5×C8 | C22 | semidirect |
| 18. C3×C5×C4⋊C4 | C22 | semidirect |
| 22. C2×C3⋊#168 | C22 | semidirect |
| 29. C5×#102 | D3 | semidirect |
| 57. C3×#102 | D5 | semidirect |
| 68. C2×C5×C8 | C2×D3 | semidirect |
| 69. C5×C4⋊C4 | C2×D3 | semidirect |
| 86. C2×D15 | SD16 | semidirect |
| 100. C2×C3×C8 | C2×D5 | semidirect |
| 101. C3×C4⋊C4 | C2×D5 | semidirect |
| 133. #102 | D15 | semidirect |
| 189. C2×C8 | C2×D15 | semidirect |
| 191. C4⋊C4 | C2×D15 | semidirect |
| 193. C3×C5 | #450 | semidirect |
| 243. C5 | #4776 | 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×D4×D15 | 2 |
| C2×#6716 | 2 |
| C2×#6706 | 2 |
| #91786 | 2 |
| C3×C5×#102 | 2 |
| #91104 | 2 |
| #91093 | 2 |
| #65065 | 3 |
| #4776 | 5 |