Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
374 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 10. C4×C13×C16 | C4 | semidirect |
| 11. C16×Dic13 | C4 | semidirect |
| 12. C4×#6090 | C4 | semidirect |
| 46. C13×C16 | C4⋊C4 | semidirect |
| 47. #6090 | C4⋊C4 | semidirect |
| 75. C4×C16 | #261 | semidirect |
| 81. C4×C13 | #367 | semidirect |
| 84. Dic13 | #367 | semidirect |
| 124. C16 | C4⋊#261 | semidirect |
| 125. C13 | #12906 | semidirect |
| 150. C4 | #11718222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718222 | 2 |
| #13130772 | 2 |
| C4×C16×D13 | 2 |
| #12906 | 13 |