Finite Group DatabasebetaFinite Group DatabasebetaOrder 1248.
112 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 112 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 |
|---|---|---|
| 38. #889 | C13 | direct (N × H) |
| 57. C3×C13 | #125 | semidirect |
| 76. C13 | #889 | direct (N × H) |
| 103. C3 | C13×#125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C13×C4⋊C4 | 2 |
| C13×C4⋊Dic3 | 2 |
| C13×Dic3⋊C4 | 2 |
| C4×Dic3×C13 | 2 |
| C13×#125 | 3 |
| #889 | 13 |