Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
182 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 1. C8×D4×C11 | C2 | semidirect |
| 3. #10622301 | C2 | semidirect |
| 4. D4⋊(C11⋊C8) | C2 | semidirect |
| 5. #10622121 | C2 | semidirect |
| 6. #10622117 | C2 | semidirect |
| 7. #10622093 | C2 | semidirect |
| 46. D4×C11 | M16 | semidirect |
| 60. C8×C11 | D8 | semidirect |
| 67. C8×D4 | D11 | semidirect |
| 125. C11 | #1581 | semidirect |
| 131. D4 | #4313 | semidirect |
| 147. C8 | #4323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×D4×C11 | 2 |
| C4×#4323 | 2 |
| #10622301 | 2 |
| D4⋊(C11⋊C8) | 2 |
| #10622121 | 2 |
| #10622117 | 2 |
| #10622093 | 2 |
| #1581 | 11 |