Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
200 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 68. C4×C13 | #108 | semidirect |
| 109. C13 | #1950 | semidirect |
| 135. C4 | #88062 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#423 | 2 |
| C2×#88062 | 2 |
| C2×C4⋊#1055 | 2 |
| C4×#6099 | 2 |
| #11718150 | 2 |
| #1950 | 13 |