Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
120 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 44 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. C4⋊Dic39 | C2 | semidirect |
| 2. C13×Dic3⋊C4 | C2 | semidirect |
| 4. #10597612 | C2 | semidirect |
| 7. Dic3×Dic13 | C2 | semidirect |
| 60. Dic3⋊C4 | D13 | semidirect |
| 62. C3×C13 | #126 | semidirect |
| 82. C13 | #879 | semidirect |
| 114. C3 | #88152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Dic39 | 2 |
| C13×Dic3⋊C4 | 2 |
| C3×#6103 | 2 |
| #10597612 | 2 |
| #10597608 | 2 |
| Dic3×Dic13 | 2 |
| #88152 | 3 |
| #879 | 13 |