Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2810 conjugacy classes of subgroups.
The subgroup lattice has 298 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13131482 | C2 | direct (N × H) |
| 3. C2×#11719079 | C2 | semidirect |
| 4. C2×#11719052 | C2 | semidirect |
| 5. C2×D13⋊(C4⋊C8) | C2 | semidirect |
| 24. #11719079 | C22 | semidirect |
| 25. #11719052 | C22 | semidirect |
| 26. D13⋊(C4⋊C8) | C22 | semidirect |
| 114. C2×C4×C13 | #131 | semidirect |
| 164. C4×C13 | C2×#131 | semidirect |
| 205. C2×C13 | #2906 | semidirect |
| 247. C13 | C2×#2906 | semidirect |
| 270. C2×C4 | #88240 | semidirect |
| 291. C4 | C2×#88240 | semidirect |
| 293. C2 | #13131482 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88240 | 2 |
| #13131482 | 2 |
| C2×#11719079 | 2 |
| C2×#11719052 | 2 |
| C2×D13⋊(C4⋊C8) | 2 |
| C2×C4×#6131 | 2 |
| C2×#2906 | 13 |