Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1630 conjugacy classes of subgroups; only the 283 normal subgroups are shown.
This group has 1630 conjugacy classes of subgroups — too many to draw. Only its 283 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. #13117490 | C2 | semidirect |
| 3. #13115244 | C2 | semidirect |
| 4. #13115117 | C2 | semidirect |
| 5. #13114784 | C2 | semidirect |
| 6. C4×#88074 | C2 | semidirect |
| 7. C4×C13×H(5,𝔽2) | C2 | semidirect |
| 16. C22×#6103 | C22 | semidirect |
| 17. #11718905 | C4 | semidirect |
| 22. C4×C22⋊Dic13 | C22 | semidirect |
| 25. #11718616 | C22 | semidirect |
| 26. #11718607 | C22 | semidirect |
| 28. #11718118 | C22 | semidirect |
| 36. C23×C4×C13 | D4 | semidirect |
| 52. C2×C13×C4⋊C4 | D4 | semidirect |
| 55. C2×C13×C22⋊C4 | D4 | semidirect |
| 58. C2×C42×C13 | D4 | semidirect |
| 63. #88191 | C2×C4 | semidirect |
| 72. #88074 | C2×C4 | semidirect |
| 84. C23×D13 | C22×C4 | semidirect |
| 127. C22⋊Dic13 | C22×C4 | semidirect |
| 135. C4×H(5,𝔽2) | D13 | semidirect |
| 252. C23×C4 | C22⋊D13 | semidirect |
| 269. C2×C4⋊C4 | C22⋊D13 | semidirect |
| 280. C2×C22⋊C4 | C22⋊D13 | semidirect |
| 284. C2×C42 | C22⋊D13 | semidirect |
| 355. C13 | #21482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718905 | 2 |
| #13117490 | 2 |
| #13115244 | 2 |
| #13115117 | 2 |
| #13114784 | 2 |
| C4×#88074 | 2 |
| C4×C13×H(5,𝔽2) | 2 |
| #21482 | 13 |