Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 2. C5×#5195 | C2 | semidirect |
| 3. #11747945 | C2 | semidirect |
| 4. #11747550 | C2 | semidirect |
| 5. #11746387 | C2 | semidirect |
| 6. #11745910 | C2 | semidirect |
| 7. #11745882 | C2 | semidirect |
| 11. C2×C5×Dic12 | C22 | semidirect |
| 20. #91101 | C22 | semidirect |
| 21. #91096 | C22 | semidirect |
| 24. C5×#812 | C22 | semidirect |
| 71. #5195 | D5 | semidirect |
| 134. C2×Dic12 | C2×D5 | semidirect |
| 142. #812 | C2×D5 | semidirect |
| 355. C3×C5 | #2191 | semidirect |
| 407. C5 | #72113 | semidirect |
| 421. C3 | #10602315 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66102 | 2 |
| C5×#5195 | 2 |
| #11747945 | 2 |
| #11747550 | 2 |
| #11746387 | 2 |
| #11745910 | 2 |
| #11745882 | 2 |
| #10602315 | 3 |
| #72113 | 5 |