Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
790 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 790 conjugacy classes of subgroups — too many to draw. Only its 154 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 |
|---|---|---|
| 18. C13×H(3,ℤ/4) | C4 | semidirect |
| 19. #11718149 | C4 | semidirect |
| 20. #11718123 | C4 | semidirect |
| 90. C2×C8×C13 | C4⋊C4 | semidirect |
| 93. C42×C13 | C4⋊C4 | semidirect |
| 99. C4×Dic13 | C4⋊C4 | semidirect |
| 101. C2×#1055 | C4⋊C4 | semidirect |
| 160. H(3,ℤ/4) | #261 | semidirect |
| 251. C2×C8 | C4⋊#261 | semidirect |
| 270. C42 | C4⋊#261 | semidirect |
| 271. C13 | #11335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131489 | 2 |
| #13131296 | 2 |
| #13130517 | 2 |
| #13130498 | 2 |
| D13×H(3,ℤ/4) | 2 |
| #11335 | 13 |