Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
332 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
| 14. #88123 | C4 | semidirect |
| 68. C4×C13 | #103 | semidirect |
| 71. Dic13 | #103 | semidirect |
| 78. C4⋊Q8 | #261 | semidirect |
| 110. C13 | #1956 | semidirect |
| 140. 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 |
| #11719059 | 2 |
| C4×D13⋊C8 | 2 |
| #1956 | 13 |