Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
400 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 126 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×C4⋊#11717581 | C2 | semidirect |
| 3. #20266043 | C2 | semidirect |
| 30. C2×C4×D101 | C8 | semidirect |
| 85. C2×D101 | C4⋊C8 | semidirect |
| 88. C4×C101 | C22⋊C8 | semidirect |
| 102. C101 | #1797 | semidirect |
| 194. C4 | #15692312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#11717581 | 2 |
| C2×#15692312 | 2 |
| #20266043 | 2 |
| C2×C42×D101 | 2 |
| #1797 | 101 |