Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
444 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 89 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. #11719503 | C2 | semidirect |
| 3. C2×C13×#100 | C2 | semidirect |
| 4. #11718792 | C2 | semidirect |
| 5. #11718147 | C2 | semidirect |
| 12. #88194 | C4 | semidirect |
| 32. C2×D52 | C2×C4 | semidirect |
| 38. C4⋊Dic13 | D4 | semidirect |
| 41. C4×Dic13 | C2×C4 | semidirect |
| 69. C2×#100 | D13 | semidirect |
| 129. C13 | #1887 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88194 | 2 |
| #11719503 | 2 |
| C2×C13×#100 | 2 |
| #11718792 | 2 |
| #11718147 | 2 |
| #1887 | 13 |