#31886167

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

Fitting	C₇₁×#2682 ⋊ C₂
Sylow	C₇₁ ⋊ #7737

674 conjugacy classes of subgroups; only the 91 normal subgroups are shown.

normal subgroups only

This group has 674 conjugacy classes of subgroups — too many to draw. Only its 91 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 9088

Polycyclic presentation:

2^8,71|b^2=g,d^2=f,e^2=h,b^a=bd,c^a=ce,d^a=df,e^a=eh,i^a=i^70,d^b=df,e^b=eg,d^c=dg,e^c=eh

1157 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 58283);