Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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. #20265232 | C2 | semidirect |
| 3. #20265228 | C2 | semidirect |
| 4. #20265200 | C2 | semidirect |
| 6. C4×#13108058 | C2 | semidirect |
| 7. C4×M16×C101 | C2 | semidirect |
| 17. #15692184 | C22 | semidirect |
| 19. #15692166 | C22 | semidirect |
| 20. C4×#11717579 | C22 | semidirect |
| 23. #97×C101 | C22 | semidirect |
| 24. C4×C8×C101 | C22 | semidirect |
| 72. C4×D101 | M16 | semidirect |
| 94. C101 | #2920 | semidirect |
| 101. C4×M16 | D101 | semidirect |
| 116. #97 | C2×D101 | semidirect |
| 118. C4×C8 | C2×D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D101 | 2 |
| #20265232 | 2 |
| #20265228 | 2 |
| #20265200 | 2 |
| #20265140 | 2 |
| C4×#13108058 | 2 |
| C4×M16×C101 | 2 |
| #2920 | 101 |