Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C2×C33 |
| direct product | C2×H(3,𝔽3)×C3⋊Dic3 |
| unambiguous semidirect product | (C2×C3)⋊(Dic3×H(3,𝔽3)) |
| Sylow | C32×H(3,𝔽3) ⋊ C2×C4 |
1488 conjugacy classes of subgroups; only the 231 normal subgroups are shown.
This group has 1488 conjugacy classes of subgroups — too many to draw. Only its 231 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3346);