Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3262 conjugacy classes of subgroups; only the 987 normal subgroups are shown.
This group has 3262 conjugacy classes of subgroups — too many to draw. Only its 987 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 |
|---|---|---|
| 3. C2×#11718753 | C2 | direct (N × H) |
| 18. #11718753 | C22 | direct (N × H) |
| 51. C22×C4×C13 | Q16 | semidirect |
| 82. C2×C4×C13 | C2×Q16 | semidirect |
| 106. C22×C13 | #494 | semidirect |
| 112. C4×C13 | C22×Q16 | semidirect |
| 138. C2×C13 | C2×#494 | semidirect |
| 154. C22×C4 | #6107 | semidirect |
| 166. C13 | C22×#494 | semidirect |
| 179. C2×C4 | C2×#6107 | semidirect |
| 185. C22 | #11718753 | direct (N × H) |
| 192. C4 | C22×#6107 | semidirect |
| 194. C2 | C2×#11718753 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6107 | 2 |
| C22×#88123 | 2 |
| C2×#11718753 | 2 |
| C22×C4×#1055 | 2 |
| C22×C13×C4⋊Q8 | 2 |
| C22×#494 | 13 |