Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
4122 conjugacy classes of subgroups; only the 555 normal subgroups are shown.
This group has 4122 conjugacy classes of subgroups — too many to draw. Only its 555 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 |
|---|---|---|
| 1. C22×#88074 | C2 | semidirect |
| 2. #13117414 | C2 | semidirect |
| 3. #13114784 | C2 | semidirect |
| 7. C2×C13×H(5,𝔽2) | C4 | semidirect |
| 12. C22×C22⋊Dic13 | C22 | semidirect |
| 13. C22×C22⋊Dic13 | C22 | semidirect |
| 16. #11718881 | C22 | semidirect |
| 18. C2×#88074 | C22 | semidirect |
| 26. C13×H(5,𝔽2) | C2×C4 | semidirect |
| 47. C23×Dic13 | C23 | semidirect |
| 53. C2×C22⋊Dic13 | C23 | semidirect |
| 65. C24×C13 | C22⋊C4 | semidirect |
| 90. C2×D4×C13 | C22⋊C4 | semidirect |
| 98. C22×C4×C13 | C22⋊C4 | semidirect |
| 159. C2×H(5,𝔽2) | Dic13 | semidirect |
| 202. H(5,𝔽2) | C2×Dic13 | semidirect |
| 247. C24 | C22⋊Dic13 | semidirect |
| 272. C2×D4 | C22⋊Dic13 | semidirect |
| 285. C22×C4 | C22⋊Dic13 | semidirect |
| 292. C13 | #20609 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88074 | 2 |
| #13117414 | 2 |
| #13114784 | 2 |
| C22×C13×H(5,𝔽2) | 2 |
| #20609 | 13 |