Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
100 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 100 conjugacy classes of subgroups — too many to draw. Only its 36 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. C3×C4⋊#261 | C2 | semidirect |
| 3. C3×D13⋊C8 | C2 | semidirect |
| 4. #88115 | C3 | direct (N × H) |
| 7. C3×D4×C13 | C4 | semidirect |
| 9. C3×D52 | C4 | semidirect |
| 13. C4⋊#261 | C2×C3 | semidirect |
| 14. D13⋊C8 | C2×C3 | semidirect |
| 25. D4×C13 | C3×C4 | semidirect |
| 27. D52 | C3×C4 | semidirect |
| 47. C3×C13 | #102 | semidirect |
| 57. C3×D4 | #261 | semidirect |
| 64. C13 | C3×#102 | semidirect |
| 76. D4 | C3×#261 | semidirect |
| 93. C3 | #88115 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×D4×D13 | 2 |
| C3×C4⋊#261 | 2 |
| C3×D13⋊C8 | 2 |
| #88115 | 3 |
| C3×#102 | 13 |