Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
560 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 161 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×#15692214 | C2 | semidirect |
| 3. #20265117 | C2 | semidirect |
| 4. #20265114 | C2 | semidirect |
| 5. #20265109 | C2 | semidirect |
| 6. #20265104 | C2 | semidirect |
| 7. #20265102 | C2 | semidirect |
| 9. C4×C4⋊Dic101 | C2 | semidirect |
| 10. C4×#13108051 | C2 | semidirect |
| 11. C4×C22⋊C4×C101 | C2 | semidirect |
| 138. C101 | #2395 | semidirect |
| 149. C4×C22⋊C4 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D101 | 2 |
| C2×#15692214 | 2 |
| #20265117 | 2 |
| #20265114 | 2 |
| #20265109 | 2 |
| #20265104 | 2 |
| #20265102 | 2 |
| #20265093 | 2 |
| C4×C4⋊Dic101 | 2 |
| C4×#13108051 | 2 |
| C4×C22⋊C4×C101 | 2 |
| #2395 | 101 |