Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
630 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 103 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. #21447493 | C2 | semidirect |
| 3. #21447472 | C2 | semidirect |
| 5. #21443947 | C2 | semidirect |
| 6. #21443939 | C2 | semidirect |
| 8. C2×#14519807 | C4 | semidirect |
| 9. C22×#11758202 | C4 | semidirect |
| 17. #16839771 | C4 | semidirect |
| 18. #16839758 | C4 | semidirect |
| 271. C61 | #13101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455114 | 2 |
| #21447493 | 2 |
| #21447472 | 2 |
| #21445794 | 2 |
| #21443947 | 2 |
| #21443939 | 2 |
| C61×#2884 | 2 |
| #13101 | 61 |