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Aliases
Splittings
Subgroups
81 conjugacy classes of subgroups.
Full subgroup data →
Presentation
Polycyclic presentation:
2^6,3^2|a^2=c,b^2=de,c^2=ef,d^2=f,b^a=bcd,g^a=g^2h^2,h^a=g^2,c^b=ce,g^b=gh^2,h^b=h^2,g^c=g^2h,h^c=gh,g^d=g^2,h^d=h^2,g^e=g^2,h^e=h^2
Conjugacy classes & character table
36 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | C2×PSU(3,𝔽2)⋊C8, #11774411, #11774597, … |
| maximal normal subgroup of | C2×PSU(3,𝔽2)⋊C8, #11774411, #11774597, … |
| maximal quotient of | #11770681, #11770695, #11770801, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 5036);
Finite Group Databasebeta