Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
316 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 68 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. D13⋊#100 | C2 | semidirect |
| 3. #11719138 | C2 | semidirect |
| 4. D13⋊#108 | C2 | semidirect |
| 5. #11719089 | C2 | semidirect |
| 10. C2×C13×D8 | C4 | semidirect |
| 11. C2×#6104 | C4 | semidirect |
| 16. C2×D104 | C4 | semidirect |
| 107. C2×D8 | #261 | semidirect |
| 154. C13 | #1978 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D13 | 2 |
| D13⋊#100 | 2 |
| #11719138 | 2 |
| D13⋊#108 | 2 |
| #11719089 | 2 |
| #1978 | 13 |