Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
152 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 2. C4×Dic39 | C2 | semidirect |
| 3. C13×Dic3⋊C4 | C2 | semidirect |
| 5. Dic3⋊Dic13 | C2 | semidirect |
| 7. Dic3×Dic13 | C2 | semidirect |
| 16. Dic3×D13 | C4 | semidirect |
| 61. Dic3⋊C4 | D13 | semidirect |
| 64. C3×C13 | #117 | semidirect |
| 85. C13 | #877 | semidirect |
| 118. C3 | #88146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic3×D13 | 2 |
| C4×Dic39 | 2 |
| C13×Dic3⋊C4 | 2 |
| C3×#6103 | 2 |
| Dic3⋊Dic13 | 2 |
| #10597608 | 2 |
| Dic3×Dic13 | 2 |
| #88146 | 3 |
| #877 | 13 |