Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
400 conjugacy classes of subgroups; only the 186 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 186 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. #17989639 | C2 | direct (N × H) |
| 31. C2×#10596833 | Q8 | semidirect |
| 75. #10596833 | C2×Q8 | semidirect |
| 89. C2×C73 | #446 | semidirect |
| 94. C73 | C2×#446 | semidirect |
| 183. C2 | #17989639 | direct (N × H) |