Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
260 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 12. #66923 | C4 | semidirect |
| 85. C11 | #1992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66923 | 2 |
| C2×C11×#97 | 2 |
| #10622548 | 2 |
| #10622189 | 2 |
| #1992 | 11 |