Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
592 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 592 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 |
|---|---|---|
| 2. C2×C11×#103 | C2 | semidirect |
| 3. C2×#66899 | C2 | semidirect |
| 5. C2×#66880 | C2 | semidirect |
| 7. C2×#66874 | C2 | semidirect |
| 14. C2×Q8×D11 | C4 | semidirect |
| 88. Q8×C11 | C22⋊C4 | semidirect |
| 119. Dic22 | C22⋊C4 | semidirect |
| 126. C2×#103 | D11 | semidirect |
| 142. C2×D11 | #103 | semidirect |
| 228. C11 | #1787 | semidirect |
| 245. Q8 | (C2×D11)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Q8×D11 | 2 |
| C2×C11×#103 | 2 |
| C2×#66899 | 2 |
| C2×(C2×D11)⋊C8 | 2 |
| C2×#66880 | 2 |
| #10622600 | 2 |
| C2×#66874 | 2 |
| #1787 | 11 |