Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2130 conjugacy classes of subgroups; only the 667 normal subgroups are shown.
This group has 2130 conjugacy classes of subgroups — too many to draw. Only its 667 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. #13123218 | C2 | semidirect |
| 2. #13123203 | C2 | semidirect |
| 3. #13123151 | C2 | semidirect |
| 4. C4×#88130 | C2 | semidirect |
| 6. #13117319 | C2 | semidirect |
| 7. C2×C43×C13 | C2 | semidirect |
| 66. C42×C13 | #41 | semidirect |
| 78. C2×C43 | D13 | semidirect |
| 87. C2×C4×C13 | #126 | semidirect |
| 175. C42 | #6127 | semidirect |
| 176. C13 | #36641 | semidirect |
| 192. C2×C4 | #88130 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123218 | 2 |
| #13123203 | 2 |
| #13123151 | 2 |
| C4×#88130 | 2 |
| #13117326 | 2 |
| #13117319 | 2 |
| C2×C43×C13 | 2 |
| #36641 | 13 |