Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
316 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 316 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 |
|---|---|---|
| 1. C2×Q8×D15 | C2 | semidirect |
| 2. C2×C3×C5×SD16 | C2 | semidirect |
| 4. C2×#6716 | C2 | semidirect |
| 5. #91119 | C2 | semidirect |
| 6. #91104 | C2 | semidirect |
| 7. #91100 | C2 | semidirect |
| 26. C2×C5×SD16 | D3 | semidirect |
| 35. C3×C5×Q8 | D4 | semidirect |
| 49. Dic30 | D4 | semidirect |
| 53. C2×C3×SD16 | D5 | semidirect |
| 81. C2×D15 | SD16 | semidirect |
| 106. C5×Q8 | #67 | semidirect |
| 125. C2×SD16 | D15 | semidirect |
| 138. C3×Q8 | C22⋊D5 | semidirect |
| 183. C3×C5 | #448 | semidirect |
| 208. Q8 | #1220 | semidirect |
| 227. C5 | #5170 | semidirect |
| 241. C3 | #65459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D15 | 2 |
| C2×C3×C5×SD16 | 2 |
| #91827 | 2 |
| C2×#6716 | 2 |
| #91119 | 2 |
| #91104 | 2 |
| #91100 | 2 |
| #65459 | 3 |
| #5170 | 5 |