Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
262 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. C2×#66888 | C2 | semidirect |
| 5. C2×#66886 | C2 | semidirect |
| 6. C2×#66874 | C2 | semidirect |
| 7. #10622168 | C2 | semidirect |
| 167. C11 | #2052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#67004 | 2 |
| C11×#417 | 2 |
| #10622847 | 2 |
| C2×#66888 | 2 |
| C2×#66886 | 2 |
| C2×#66874 | 2 |
| #10622168 | 2 |
| #2052 | 11 |