Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
328 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#14582719 | C2 | semidirect |
| 3. C2×#14582676 | C2 | semidirect |
| 5. #19132676 | C2 | semidirect |
| 6. #19132674 | C2 | semidirect |
| 172. C43 | #13128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582719 | 2 |
| C2×#14582681 | 2 |
| C2×#14582676 | 2 |
| #19134376 | 2 |
| #19132676 | 2 |
| #19132674 | 2 |
| C2×C43×#349 | 2 |
| #13128 | 43 |