Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
780 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. C2×#11718719 | C2 | semidirect |
| 2. #13115659 | C2 | semidirect |
| 3. C2×#11718132 | C2 | semidirect |
| 4. #13112717 | C2 | semidirect |
| 5. C13×#2819 | C2 | semidirect |
| 42. #88128 | D4 | semidirect |
| 48. #88043 | D4 | semidirect |
| 89. #2819 | D13 | semidirect |
| 232. C13 | #10078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718719 | 2 |
| #13115659 | 2 |
| C2×#11718132 | 2 |
| #13112717 | 2 |
| C13×#2819 | 2 |
| #10078 | 13 |