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 |
| 82. C5×C3⋊C8 | Q16 | semidirect |
| 190. C3⋊C8 | #689 | semidirect |
| 217. C3×C5 | #1713 | semidirect |
| 246. C5 | #71298 | semidirect |
| 255. C3 | #10602155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751179 | 2 |
| C5×#5078 | 2 |
| C3×#65381 | 2 |
| #11747096 | 2 |
| #11746962 | 2 |
| #11746960 | 2 |
| C3⋊C8×#168 | 2 |
| #10602155 | 3 |
| #71298 | 5 |