Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
480 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #20265282 | C2 | direct (N × H) |
| 10. C2×#13108064 | C4 | semidirect |
| 36. #13108064 | C2×C4 | semidirect |
| 98. C2×C101 | #441 | semidirect |
| 103. C101 | C2×#441 | semidirect |
| 201. C2 | #20265282 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108064 | 2 |
| C2×C4×Dic202 | 2 |
| #20265282 | 2 |
| C2×#15692186 | 2 |
| C2×#15692179 | 2 |
| C2×#15692178 | 2 |
| C2×#15692166 | 2 |
| C2×C4×Q8×C101 | 2 |
| C2×#441 | 101 |