Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
386 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20265515 | C2 | semidirect |
| 3. #20265515 | C2 | semidirect |
| 4. #20265510 | C2 | semidirect |
| 5. #20265505 | C2 | semidirect |
| 6. #20265220 | C2 | semidirect |
| 7. #20265213 | C2 | semidirect |
| 8. #20265186 | C2 | semidirect |
| 9. C2×#15692179 | C2 | semidirect |
| 127. C101 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265660 | 2 |
| #20265515 | 2 |
| #20265510 | 2 |
| #20265505 | 2 |
| #20265220 | 2 |
| #20265213 | 2 |
| #20265186 | 2 |
| C2×#15692179 | 2 |
| #20265144 | 2 |
| #536×C101 | 2 |
| #3097 | 101 |