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Aliases
Splittings
Subgroups
123 conjugacy classes of subgroups.
Full subgroup data →
Presentation
Polycyclic presentation:
2^2,3^5|d^3=f,e^3=g,e^a=e^2g^2,g^a=g^2,d^b=d^2f^2,f^b=f^2,d^c=df^2,e^c=eg
Conjugacy classes & character table
36 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | #11757690⋊C2, C2×#92264⋊C2, AGL(1,ℤ/9)2, … |
| maximal normal subgroup of | #11757690⋊C2, C2×#92264⋊C2, AGL(1,ℤ/9)2, … |
| maximal quotient of | #92264⋊C4, #14516822, #14516823, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(972, 431);
Finite Group Databasebeta