Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
200 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 99. C3×C4 | #108 | semidirect |
| 134. C4 | #822 | semidirect |
| 139. C3 | #1950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#423 | 2 |
| C2×#822 | 2 |
| C2×C4⋊(C3⋊C8) | 2 |
| C4×#208 | 2 |
| #4558 | 2 |
| #1950 | 3 |