#30640760

order	16256
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	Q₈²×C₁₂₇ ⋊ C₂
Sylow	C₁₂₇ ⋊ #2205

224 conjugacy classes of subgroups.

Polycyclic presentation:

2^7,127|b^2=g,c^2=g,d^2=g,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,f^a=fg,h^a=h^126,c^b=cg,d^b=dg,e^b=efg,d^c=df,e^c=eg,e^d=eg

1595 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 6540);