Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
612 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 102 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×#15692312 | C2 | semidirect |
| 2. C2×C22⋊#11717581 | C2 | semidirect |
| 74. C101 | #1780 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692312 | 2 |
| C2×C22⋊#11717581 | 2 |
| C22×#13108073 | 2 |
| #1780 | 101 |