#35218167

order	20864
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₂×#124×C₁₆₃ ⋊ C₂
Sylow	C₁₆₃ ⋊ #2432

836 conjugacy classes of subgroups; only the 169 normal subgroups are shown.

normal subgroups only

This group has 836 conjugacy classes of subgroups — too many to draw. Only its 169 normal subgroups are shown.

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

μ_t(G) = 10432

Polycyclic presentation:

2^7,163|a^2=e,c^2=f,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^162,c^b=cg,h^b=h^162,h^c=h^162

2306 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20864, 8141);