C₉₈₃⋊C₃₂ #44537869

order	31456
automorphism	?
homology	Abelianization (H₁) = C₃₂ · Schur multiplier (H₂) = C₁

Aliases

C₉₈₃⋊C₃₂

C₉₈₃ ⋊ C₃₂

	subgroup	G/H
center, Frattini, hypercenter	C₁₆	D₉₈₃
commutator, hypocenter	C₉₈₃	C₃₂
Fitting, cosocle	C₁₆×C₉₈₃	C₂
socle, prime radical	C₂×C₉₈₃	C₁₆
LCS	G ▷ C₉₈₃
UCS	C₁ ◁ C₁₆

12 conjugacy classes of subgroups.

μ_t(G) = 31456

Polycyclic presentation:

2^5,983|a^2=b,b^2=c,c^2=d,d^2=e,f^a=f^982

7888 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31456, 52);