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Aliases
Splittings
Subgroups
125 conjugacy classes of subgroups.
Full subgroup data →
Presentation
Polycyclic presentation:
3^2,2^6|a^3=b,e^2=h,f^2=h,c^a=cd,d^a=c,e^a=ef,f^a=e,f^c=fg,e^d=eg,f^e=fh
Conjugacy classes & character table
54 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | #11920447, #11920448, #11920449, … |
| maximal subgroup of | #2029⋊C9, #2030⋊C9, #2032⋊C9, … |
| maximal normal subgroup of | #2029⋊C9, #2030⋊C9, #2032⋊C9, … |
| maximal quotient of | #11919653, #11919657, C2×#543⋊C9, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 1446);
Finite Group Databasebeta