Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
222 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 27. C2×#6090 | C8 | semidirect |
| 127. C13 | #7155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#6090 | 2 |
| #13113584 | 2 |
| C13×#1564 | 2 |
| #7155 | 13 |