Finite Group DatabasebetaFinite Group DatabasebetaOrder 28096.
110 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 41 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×#20296319 | C2 | semidirect |
| 4. #28380674 | C2 | semidirect |
| 5. #28380667 | C2 | semidirect |
| 6. #28380666 | C2 | semidirect |
| 51. C439 | #470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20296319 | 2 |
| C2×#20296313 | 2 |
| #28380722 | 2 |
| #28380674 | 2 |
| #28380667 | 2 |
| #28380666 | 2 |
| C22⋊Q8×C439 | 2 |
| #470 | 439 |