Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
604 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 181 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×#66922 | C2 | semidirect |
| 4. #10622825 | C2 | semidirect |
| 5. #10622587 | C2 | semidirect |
| 6. #10622566 | C2 | semidirect |
| 7. C4×C4⋊Dic11 | C2 | semidirect |
| 92. C4×C11 | #124 | semidirect |
| 140. C11 | #2547 | semidirect |
| 180. C4 | #66989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D4×C11 | 2 |
| C2×#66989 | 2 |
| C2×#66922 | 2 |
| #10622825 | 2 |
| #10622587 | 2 |
| #10622566 | 2 |
| C4×C4⋊Dic11 | 2 |
| #2547 | 11 |