Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
268 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 15. C2×C3×C5×Q8 | C8 | semidirect |
| 55. C2×C5×Q8 | C3⋊C8 | semidirect |
| 78. C2×C3×Q8 | #170 | semidirect |
| 141. C2×Q8 | C3⋊#170 | semidirect |
| 149. C3×C5 | #1319 | semidirect |
| 186. C5 | #67643 | semidirect |
| 197. C3 | #10598827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65519 | 2 |
| #11746784 | 2 |
| #10598827 | 3 |
| #67643 | 5 |