Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
272 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 272 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 |
|---|---|---|
| 3. C2×#88104 | C2 | semidirect |
| 4. C2×#88103 | C2 | semidirect |
| 5. #11718268 | C2 | semidirect |
| 152. C13 | #1811 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D13 | 2 |
| #11719127 | 2 |
| C2×#88104 | 2 |
| C2×#88103 | 2 |
| #11718268 | 2 |
| #1811 | 13 |