Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
842 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 842 conjugacy classes of subgroups — too many to draw. Only its 216 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 |
|---|---|---|
| 10. C4×C4⋊#261 | C4 | semidirect |
| 11. C2×C13×#97 | C4 | semidirect |
| 12. C2×C8×Dic13 | C4 | semidirect |
| 13. C2×#88043 | C4 | semidirect |
| 64. C2×C8×C13 | C4⋊C4 | semidirect |
| 74. C2×#1055 | C4⋊C4 | semidirect |
| 114. C2×#97 | #261 | semidirect |
| 136. Dic13 | H(3,ℤ/4) | semidirect |
| 190. C2×C8 | C4⋊#261 | semidirect |
| 203. C13 | #10837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131285 | 2 |
| C2×#11718267 | 2 |
| C2×#11718368 | 2 |
| #10837 | 13 |