#32029009

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

Fitting	C₇₁×#1782 ⋊ C₂
Sylow	C₇₁ ⋊ #23896

1764 conjugacy classes of subgroups; only the 199 normal subgroups are shown.

normal subgroups only

This group has 1764 conjugacy classes of subgroups — too many to draw. Only its 199 normal subgroups are shown.

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

μ_t(G) = 2272

Polycyclic presentation:

2^8,71|b^2=h,b^a=be,c^a=cf,d^a=de,g^a=gh,i^a=i^70,c^b=cg,e^c=eh,i^c=i^70,f^d=fh

1160 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 201125);