Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
140 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 16. #64605 | C4 | semidirect |
| 29. C3×Dic13 | Q8 | semidirect |
| 50. Dic13 | Dic6 | semidirect |
| 59. C3×C13 | C4×Q8 | semidirect |
| 79. C13 | C4×Dic6 | semidirect |
| 107. C3 | #88141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64605 | 2 |
| #10597664 | 2 |
| C13×Dic3⋊C4 | 2 |
| C3×C4×Dic13 | 2 |
| #10597611 | 2 |
| Dic3×Dic13 | 2 |
| #88141 | 3 |
| C4×Dic6 | 13 |