Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 212 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 212 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 |
|---|---|---|
| 26. C4×#1055 | C8 | semidirect |
| 71. #1055 | C4⋊C8 | semidirect |
| 85. C4×C13 | #335 | semidirect |
| 134. C13 | #8806 | semidirect |
| 165. C4 | #11718256 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130768 | 2 |
| C2×#11718256 | 2 |
| C4×C8×Dic13 | 2 |
| #8806 | 13 |