Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 153 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. #20265399 | C2 | semidirect |
| 4. #20265387 | C2 | semidirect |
| 5. #20265377 | C2 | semidirect |
| 6. #20265201 | C2 | semidirect |
| 7. #20265176 | C2 | semidirect |
| 8. C2×C4×Q8×C101 | C2 | semidirect |
| 52. C2×Q8×C101 | D4 | semidirect |
| 111. C4×C101 | #137 | semidirect |
| 121. C101 | #3037 | semidirect |
| 124. C2×C4×Q8 | D101 | semidirect |
| 160. C2×Q8 | D404 | semidirect |
| 233. C4 | #15692286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692286 | 2 |
| #20265727 | 2 |
| #20265399 | 2 |
| #20265387 | 2 |
| #20265377 | 2 |
| #20265201 | 2 |
| #20265176 | 2 |
| C2×C4×Q8×C101 | 2 |
| #3037 | 101 |