#46808808

order	34432
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₆ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

Fitting	C₂²⋊C₁₆×C₂₆₉ ⋊ C₂
Sylow	C₂₆₉ ⋊ #1314

140 conjugacy classes of subgroups; only the 43 normal subgroups are shown.

normal subgroups only

This group has 140 conjugacy classes of subgroups — too many to draw. Only its 43 normal subgroups are shown.

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

μ_t(G) = 8608

Polycyclic presentation:

2^7,269|a^2=d,d^2=f,f^2=g,b^a=bc,c^a=ce,d^b=de,h^b=h^268

5404 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34432, 2433);