Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 15. #11718085 | C4 | semidirect |
| 135. C13 | #12676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718085 | 2 |
| C2×#11718053 | 2 |
| C4×#88059 | 2 |
| #13112929 | 2 |
| C4×C13×#108 | 2 |
| #12676 | 13 |