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Aliases
Subgroups
90 conjugacy classes of subgroups.
Full subgroup data →
Presentation
Polycyclic presentation:
2,3^2,2^5|a^2=h,d^2=f,e^2=fg,b^a=b^2,c^a=c^2,d^a=ef,e^a=dfg,f^a=fg,d^b=efh,e^b=deh,f^b=fg,g^b=fh,e^d=eh
Conjugacy classes & character table
27 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | #11920467, #11920468, #11920469, … |
| maximal normal subgroup of | #11920467, #11920468, #11920469, … |
| maximal quotient of | C3⋊SL(2,ℤ/8), C2×C3⋊#4621, C9⋊#4621, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 1989);
Finite Group Databasebeta