Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 4. #11746755 | C2 | semidirect |
| 5. #11746752 | C2 | semidirect |
| 198. C3×C5 | #1573 | semidirect |
| 234. C5 | #70752 | semidirect |
| 246. C3 | #10603900 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752418 | 2 |
| C2×C4⋊(C3⋊#170) | 2 |
| C3×#65007 | 2 |
| #11746755 | 2 |
| #11746752 | 2 |
| #10603900 | 3 |
| #70752 | 5 |