Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 219 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. #13117117 | C2 | direct (N × H) |
| 29. C2×C13×C16 | Q8 | semidirect |
| 37. C2×#6090 | Q8 | semidirect |
| 60. C13×C16 | C2×Q8 | semidirect |
| 61. #6090 | C2×Q8 | semidirect |
| 117. C2×C16 | Dic26 | semidirect |
| 126. C2×C13 | #2254 | semidirect |
| 149. C16 | C2×Dic26 | semidirect |
| 150. C13 | C2×#2254 | semidirect |
| 176. C2 | #13117117 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718535 | 2 |
| #13117117 | 2 |
| C2×#11718097 | 2 |
| C2×#11718082 | 2 |
| C2×C16×Dic13 | 2 |
| C2×C13×#367 | 2 |
| C2×#2254 | 13 |