Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. C2×#15692183 | C2 | semidirect |
| 3. #20265179 | C2 | semidirect |
| 4. #20265178 | C2 | semidirect |
| 5. #20265043 | C2 | semidirect |
| 6. #20264945 | C2 | semidirect |
| 7. C2×#104×C101 | C2 | semidirect |
| 62. C42×C101 | D4 | semidirect |
| 128. C101 | #2040 | semidirect |
| 131. C2×#104 | D101 | semidirect |
| 190. C42 | C22⋊D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265755 | 2 |
| C2×#15692183 | 2 |
| #20265179 | 2 |
| #20265178 | 2 |
| #20265043 | 2 |
| #20264945 | 2 |
| C2×#104×C101 | 2 |
| #2040 | 101 |