Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
152 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 48 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. C2×#64605 | C2 | semidirect |
| 3. #10597671 | C2 | semidirect |
| 4. C13×#217 | C2 | semidirect |
| 5. #10597608 | C2 | semidirect |
| 6. #10597608 | C2 | semidirect |
| 7. Dic3×Dic13 | C2 | semidirect |
| 69. #217 | D13 | semidirect |
| 71. C3×C13 | #124 | semidirect |
| 94. C13 | #936 | semidirect |
| 133. C3 | #88139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C22⋊D13 | 2 |
| C2×#64605 | 2 |
| #10597671 | 2 |
| C13×#217 | 2 |
| #10597608 | 2 |
| Dic3×Dic13 | 2 |
| #88139 | 3 |
| #936 | 13 |