Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1434 conjugacy classes of subgroups; only the 275 normal subgroups are shown.
This group has 1434 conjugacy classes of subgroups — too many to draw. Only its 275 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. #13116012 | C2 | direct (N × H) |
| 3. C2×#11718119 | C2 | semidirect |
| 4. C2×C13×#543 | C2 | semidirect |
| 7. C13×#543 | C22 | semidirect |
| 14. #11718119 | C22 | semidirect |
| 16. C24×D13 | Q8 | semidirect |
| 23. C22×C22⋊D13 | Q8 | semidirect |
| 26. C23×Dic13 | Q8 | semidirect |
| 55. C23×D13 | C2×Q8 | semidirect |
| 78. C22×Dic13 | C2×Q8 | semidirect |
| 88. C2×#543 | D13 | semidirect |
| 136. #543 | C2×D13 | semidirect |
| 205. C2×C13 | #2032 | semidirect |
| 252. C13 | C2×#2032 | semidirect |
| 329. C2 | #13116012 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88046 | 2 |
| #13116012 | 2 |
| C2×#11718119 | 2 |
| C2×C13×#543 | 2 |
| C2×#2032 | 13 |