Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
228 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 76 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×#88098 | C2 | semidirect |
| 3. C2×D13⋊C16 | C2 | semidirect |
| 4. C22⋊#6092 | C2 | semidirect |
| 5. #11718259 | C2 | semidirect |
| 125. C13 | #2113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88161 | 2 |
| C2×#88098 | 2 |
| C2×D13⋊C16 | 2 |
| C22⋊#6092 | 2 |
| #11718259 | 2 |
| #2113 | 13 |