Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
602 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 101 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. #21455846 | C2 | semidirect |
| 2. #21451173 | C2 | semidirect |
| 3. #21444379 | C2 | semidirect |
| 4. #21444247 | C2 | semidirect |
| 5. #21444210 | C2 | semidirect |
| 6. #21443679 | C2 | semidirect |
| 99. C2×D4×C61 | SD16 | semidirect |
| 265. C61 | #9998 | semidirect |
| 335. C2×D4 | #11758200 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455846 | 2 |
| #21451173 | 2 |
| #21444379 | 2 |
| #21444247 | 2 |
| #21444210 | 2 |
| #21443679 | 2 |
| C61×#3036 | 2 |
| #9998 | 61 |