Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
398 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 7. #14583304 | C4 | semidirect |
| 27. #13063259 | Q8 | semidirect |
| 111. C43 | #13276 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583304 | 2 |
| C4×#13063259 | 2 |
| #19132687 | 2 |
| C2×C43×C4⋊C16 | 2 |
| #13276 | 43 |