Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
532 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 15. #14582641 | C4 | semidirect |
| 18. C43×#330 | C4 | semidirect |
| 108. Dic43 | #330 | direct (N × H) |
| 131. #330 | Dic43 | direct (N × H) |
| 132. C43 | C4×#330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #125×Dic43 | 2 |
| #97×Dic43 | 2 |
| C2×#14582641 | 2 |
| #19132477 | 2 |
| C2×C43×#330 | 2 |
| C4×#330 | 43 |