Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
146 conjugacy classes of subgroups; only the 30 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 30 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 |
|---|---|---|
| 7. C2×C4⋊Dic13 | C4 | semidirect |
| 9. C13×#95 | C4 | semidirect |
| 72. #95 | #261 | semidirect |
| 93. C13 | #1344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718335 | 2 |
| #11718289 | 2 |
| #11718287 | 2 |
| #1344 | 13 |