Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
452 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 84 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×Q16×D15 | C2 | semidirect |
| 2. C2×C3×#3960 | C2 | semidirect |
| 4. C2×#90942 | C2 | semidirect |
| 5. C5×#4564 | C2 | semidirect |
| 6. #11745902 | C2 | semidirect |
| 7. #11745881 | C2 | semidirect |
| 26. C2×#3960 | D3 | semidirect |
| 42. C3×C5×Q16 | D4 | semidirect |
| 47. Dic60 | D4 | semidirect |
| 60. #4564 | D5 | semidirect |
| 125. C5×Q16 | #67 | semidirect |
| 149. C2×D15 | SD32 | semidirect |
| 169. C3×Q16 | D20 | semidirect |
| 271. Q16 | #1202 | semidirect |
| 282. C3×C5 | #2185 | semidirect |
| 327. C5 | #71483 | semidirect |
| 341. C3 | #10600016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D15 | 2 |
| C2×C3×#3960 | 2 |
| #11747932 | 2 |
| C2×#90942 | 2 |
| C5×#4564 | 2 |
| #11745902 | 2 |
| #11745881 | 2 |
| #10600016 | 3 |
| #71483 | 5 |