Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
230 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 65 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×#15692174 | C2 | semidirect |
| 3. #20264975 | C2 | semidirect |
| 4. #20264973 | C2 | semidirect |
| 5. C2×#101×C101 | C2 | semidirect |
| 105. C101 | #2133 | semidirect |
| 108. C2×#101 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265751 | 2 |
| C2×#15692174 | 2 |
| #20264975 | 2 |
| #20264973 | 2 |
| C2×#101×C101 | 2 |
| #2133 | 101 |