Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
912 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13125774 | C2 | semidirect |
| 3. #13113505 | C2 | semidirect |
| 4. #13112669 | C2 | semidirect |
| 5. C13×#1994 | C2 | semidirect |
| 24. C13×C4⋊Q8 | D4 | semidirect |
| 43. C4⋊#1055 | D4 | semidirect |
| 72. C42×C13 | SD16 | semidirect |
| 80. #1994 | D13 | semidirect |
| 142. C4⋊Q8 | D52 | semidirect |
| 194. C42 | #6106 | semidirect |
| 198. C13 | #10290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125774 | 2 |
| #13123231 | 2 |
| #13113505 | 2 |
| #13112669 | 2 |
| C13×#1994 | 2 |
| #10290 | 13 |