Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
592 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13125777 | C2 | semidirect |
| 2. #13124635 | C2 | semidirect |
| 4. #13113240 | C2 | semidirect |
| 5. #13113156 | C2 | semidirect |
| 6. #13112731 | C2 | semidirect |
| 7. C13×#1545 | C2 | semidirect |
| 101. C2×D52 | SD16 | semidirect |
| 136. #1545 | D13 | semidirect |
| 344. C13 | #10178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125777 | 2 |
| #13124635 | 2 |
| C2×#11718733 | 2 |
| #13113240 | 2 |
| #13113156 | 2 |
| #13112731 | 2 |
| C13×#1545 | 2 |
| #10178 | 13 |