Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
376 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 47 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. #19132527 | C2 | semidirect |
| 2. #19132416 | C2 | semidirect |
| 16. H(5,𝔽2)×C43 | C8 | semidirect |
| 154. C43 | #7344 | semidirect |
| 158. H(5,𝔽2) | C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19132527 | 2 |
| #19132416 | 2 |
| C43×#1792 | 2 |
| #7344 | 43 |