Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
272 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 141 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. C11×#97 | C4 | semidirect |
| 14. #66882 | C4 | semidirect |
| 15. #66881 | C4 | semidirect |
| 51. C8×C11 | C42 | semidirect |
| 77. #97 | Dic11 | semidirect |
| 101. C11 | #1776 | semidirect |
| 119. C8 | C4×Dic11 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#97 | 2 |
| C2×#66882 | 2 |
| C2×#66881 | 2 |
| C4×C4⋊Dic11 | 2 |
| #10622189 | 2 |
| #1776 | 11 |