Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C2×C3 |
No aliases for this group.
| Fitting | C22×C3×3−1+2 ⋊ D3 |
427 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 427 conjugacy classes of subgroups — too many to draw. Only its 56 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 54 |
Polycyclic presentation:
2,3^5,2^2|c^3=f,d^a=d^2,e^a=e^2,g^a=gh,c^b=cf,e^d=ef,g^d=h,h^d=gh91 conjugacy classes — view the full character table.
| maximal subgroup of | #72276182 |
| maximal normal subgroup of | #72276182 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3598);