(C₃₇₃⋊C₉)⋊C₉ #44475070

order	30213
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃

Aliases

(C₃₇₃⋊C₉)⋊C₉

C₃₇₃ ⋊ C₉⋊C₉

34 conjugacy classes of subgroups.

μ_t(G) = 30213

Polycyclic presentation:

3^4,373|a^3=d,b^3=c,b^a=bc,e^b=e^284

3381 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30213, 20);