Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
260 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 260 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 |
|---|---|---|
| 2. C2×#88106 | C2 | semidirect |
| 3. C22⋊#6092 | C2 | semidirect |
| 11. C2×#6092 | C22 | semidirect |
| 52. C22×C13 | M32 | semidirect |
| 85. C13 | #2112 | semidirect |
| 106. C22 | #88106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#1055 | 2 |
| C2×#88106 | 2 |
| C22⋊#6092 | 2 |
| #2112 | 13 |