Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
342 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 125 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. #10622464 | C2 | semidirect |
| 5. #10622462 | C2 | semidirect |
| 103. C11 | #3255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623001 | 2 |
| C11×#423 | 2 |
| #10622750 | 2 |
| #10622464 | 2 |
| #10622462 | 2 |
| #3255 | 11 |