Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 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. C2×#11718840 | C2 | semidirect |
| 3. C2×#11718080 | C2 | semidirect |
| 4. #13116556 | C2 | semidirect |
| 5. C2×#11718145 | C2 | semidirect |
| 6. #13112943 | C2 | semidirect |
| 7. C2×C13×#470 | C2 | semidirect |
| 39. C2×C13×Q16 | D4 | semidirect |
| 67. C13×#106 | D4 | semidirect |
| 78. #88052 | D4 | semidirect |
| 145. C2×#470 | D13 | semidirect |
| 249. C2×Q16 | C22⋊D13 | semidirect |
| 282. #106 | C22⋊D13 | semidirect |
| 353. C13 | #13317 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| #13124445 | 2 |
| C2×#11718080 | 2 |
| #13116556 | 2 |
| C2×#11718145 | 2 |
| #13112943 | 2 |
| C2×C13×#470 | 2 |
| #13317 | 13 |