Finite Group DatabasebetaFinite Group DatabasebetaOrder 29248.
170 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 9. C4⋊Dic457 | C4 | semidirect |
| 40. C4×C457 | C4⋊C4 | semidirect |
| 50. C457 | #389 | semidirect |
| 93. C4 | #20300720 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊Dic457 | 2 |
| C2×#20300720 | 2 |
| #28410459 | 2 |
| C2×C42×C457 | 2 |
| #389 | 457 |