Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
100 conjugacy classes of subgroups; only the 33 normal subgroups are shown.
This group has 100 conjugacy classes of subgroups — too many to draw. Only its 33 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⋊(C3⋊#261) | C2 | semidirect |
| 3. D13⋊(C3⋊C8) | C2 | semidirect |
| 7. C3×D4×C13 | C4 | semidirect |
| 9. C3×D52 | C4 | semidirect |
| 25. D4×C13 | Dic3 | semidirect |
| 27. D52 | Dic3 | semidirect |
| 47. C3×C13 | #102 | semidirect |
| 57. C3×D4 | #261 | semidirect |
| 64. C13 | #832 | semidirect |
| 76. D4 | C3⋊#261 | semidirect |
| 93. C3 | #88115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×D4×D13 | 2 |
| C4⋊(C3⋊#261) | 2 |
| D13⋊(C3⋊C8) | 2 |
| #88115 | 3 |
| #832 | 13 |