Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 1. C2×#15692286 | C2 | semidirect |
| 3. C2×Q8×Dic101 | C2 | semidirect |
| 4. #20265401 | C2 | semidirect |
| 5. #20265397 | C2 | semidirect |
| 6. #20265385 | C2 | semidirect |
| 7. #20265375 | C2 | semidirect |
| 8. #20265200 | C2 | semidirect |
| 9. #20265179 | C2 | semidirect |
| 10. #20265178 | C2 | semidirect |
| 11. C2×#137×C101 | C2 | semidirect |
| 80. C2×Q8×C101 | D4 | semidirect |
| 150. Dic101 | #137 | semidirect |
| 158. C101 | #3037 | semidirect |
| 160. C2×#137 | D101 | semidirect |
| 210. C2×Q8 | C22⋊D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692286 | 2 |
| #20265723 | 2 |
| C2×Q8×Dic101 | 2 |
| #20265401 | 2 |
| #20265397 | 2 |
| #20265385 | 2 |
| #20265375 | 2 |
| #20265200 | 2 |
| #20265179 | 2 |
| #20265178 | 2 |
| C2×#137×C101 | 2 |
| #3037 | 101 |