Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1738 conjugacy classes of subgroups; only the 587 normal subgroups are shown.
This group has 1738 conjugacy classes of subgroups — too many to draw. Only its 587 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. #13120801 | C2 | semidirect |
| 2. #13120796 | C2 | semidirect |
| 3. #13120789 | C2 | semidirect |
| 4. #13118134 | C2 | semidirect |
| 6. #13117319 | C2 | semidirect |
| 7. C2×C13×#376 | C2 | semidirect |
| 74. C2×#376 | D13 | semidirect |
| 168. C13 | #34639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120801 | 2 |
| #13120796 | 2 |
| #13120789 | 2 |
| #13118134 | 2 |
| #13117326 | 2 |
| #13117319 | 2 |
| C2×C13×#376 | 2 |
| #34639 | 13 |