Groups of order 48 · Contents · Statistics at a glance · Sylow subgroups · GAP implementation · Groupprops.
Order 24: The symmetric group S4; Order 48: The binary octahedral group and
S3 = 2O = <2,3,4>, 16 · 2-, CSU(2, 3), 48,28. C4○D12, Central product of C4 and D12 · 24 · 2, C4oD12, 48,37.
order ≤ 100. For details, refer to the text preceding this table. GAP ID. Group
labeled 1,2,...,48 in some fixed way), you can use the GAP-Sage interface as follows.
This library contains all the finite groups of “small” orders,4 namely,
The Small Groups library replaces the Gap 3 library of solvable groups of order at most 100. However, both the organisation and data descriptions of these ...
G has a trivial center if and only if GAP returns true. For example : order 36 gap> n:=36;for j in [1..NrSmallGroups(n)] do G:=SmallGroup(n,j); if Size(Center(G))=1 ...
The previous examples show that if D_16 denotes the dihedral group of order 16 ... gap> WedderburnDecomposition( GroupRing( Rationals, SmallGroup(48,15) ) ...
gap> GrowthFunctionOfGroup(product,10); [ 1, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64 ]