Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13131184 | C2 | semidirect |
| 4. #13130943 | C2 | semidirect |
| 5. #13129903 | C2 | semidirect |
| 6. #13129879 | C2 | semidirect |
| 27. C13×#360 | C4 | semidirect |
| 28. #11718158 | C4 | semidirect |
| 29. #11718110 | C4 | semidirect |
| 30. #11718080 | C4 | semidirect |
| 71. C13×M32 | C2×C4 | semidirect |
| 72. C13×#106 | C2×C4 | semidirect |
| 73. #88057 | C2×C4 | semidirect |
| 74. #88052 | C2×C4 | semidirect |
| 201. #360 | #261 | semidirect |
| 251. M32 | C2×#261 | semidirect |
| 261. #106 | C2×#261 | semidirect |
| 332. C13 | #12951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×#261 | 2 |
| #13131184 | 2 |
| #13131164 | 2 |
| #13130943 | 2 |
| #13129903 | 2 |
| #13129879 | 2 |
| #13116570 | 2 |
| #12951 | 13 |