Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
152 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 3. C4⋊(C3⋊#261) | C2 | semidirect |
| 4. C4×C3⋊#261 | C2 | semidirect |
| 8. C2×C3×C4×C13 | C4 | semidirect |
| 9. C2×C3×Dic13 | C4 | semidirect |
| 10. C3×C4×D13 | C4 | semidirect |
| 11. C3×C4×D13 | C4 | semidirect |
| 29. C2×C4×C13 | Dic3 | semidirect |
| 30. C2×Dic13 | Dic3 | semidirect |
| 31. C4×D13 | Dic3 | semidirect |
| 32. C4×D13 | Dic3 | semidirect |
| 53. C3×C13 | #117 | semidirect |
| 65. C2×C3×C4 | #261 | semidirect |
| 71. C13 | #926 | semidirect |
| 88. C2×C4 | C3⋊#261 | semidirect |
| 102. C3 | #88237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C4×D13 | 2 |
| #10597729 | 2 |
| C4⋊(C3⋊#261) | 2 |
| C4×C3⋊#261 | 2 |
| #88237 | 3 |
| #926 | 13 |