#43252839

order	28544
automorphism	?
homology	Abelianization (H₁) = C₂×C₄ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

C₂₂₃ ⋊ #1361

118 conjugacy classes of subgroups.

μ_t(G) = 14272

Polycyclic presentation:

2^7,223|a^2=d,c^2=fg,d^2=efg,e^2=g,f^2=g,b^a=bc,c^a=ce,e^a=eg,f^a=fg,h^a=h^222,c^b=cf,d^b=defg,e^b=eg,f^b=fg

2471 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28544, 2556);