Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#11718086 | C2 | semidirect |
| 5. #13115565 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C13×#1383 | C2 | semidirect |
| 23. #11718080 | C4 | semidirect |
| 93. Dic52 | C4⋊C4 | semidirect |
| 95. D104 | C4⋊C4 | semidirect |
| 107. #1383 | D13 | semidirect |
| 257. C13 | #12950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718556 | 2 |
| C2×#11718086 | 2 |
| C2×#11718110 | 2 |
| C2×#11718080 | 2 |
| #13115565 | 2 |
| #13112917 | 2 |
| C13×#1383 | 2 |
| #12950 | 13 |