Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
384 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 80. C3⋊#168 | Q16 | semidirect |
| 81. C3×#168 | Q16 | semidirect |
| 160. #168 | #216 | semidirect |
| 217. C3×C5 | #1713 | semidirect |
| 246. C5 | #71362 | semidirect |
| 255. C3 | #10602091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751179 | 2 |
| C5×#5092 | 2 |
| C3×#65367 | 2 |
| #11747100 | 2 |
| #11746962 | 2 |
| #11746955 | 2 |
| C3⋊C8×#168 | 2 |
| #10602091 | 3 |
| #71362 | 5 |