Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
324 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 9. C13×C4⋊Q8 | C4 | semidirect |
| 10. #88198 | C4 | semidirect |
| 16. #88123 | C4 | semidirect |
| 82. C4×C13 | #103 | semidirect |
| 86. Dic13 | #103 | semidirect |
| 95. C4⋊Q8 | #261 | semidirect |
| 135. C13 | #1981 | semidirect |
| 172. C4 | #88117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×C4⋊Q8 | 2 |
| C2×#88117 | 2 |
| C4×C4⋊#261 | 2 |
| D13⋊(C4⋊C8) | 2 |
| #1981 | 13 |