Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 119 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×#91219 | C2 | semidirect |
| 3. #11746758 | C2 | semidirect |
| 4. C4⋊(C3⋊#674) | C2 | semidirect |
| 5. C4×C3⋊#674 | C2 | semidirect |
| 34. C3⋊#674 | D4 | semidirect |
| 94. C3×C4×C5 | M32 | semidirect |
| 153. C4×C5 | #812 | semidirect |
| 170. C3×C5 | #2169 | semidirect |
| 177. C3×C4 | #3990 | semidirect |
| 200. C5 | #70858 | semidirect |
| 207. C4 | #91219 | semidirect |
| 210. C3 | #10604023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91219 | 2 |
| C3×#65123 | 2 |
| #11746758 | 2 |
| C4⋊(C3⋊#674) | 2 |
| C4×C3⋊#674 | 2 |
| #10604023 | 3 |
| #70858 | 5 |