#41000323

order	26816
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₂²⋊C₈×C₄₁₉ ⋊ C₂
Sylow	C₄₁₉ ⋊ #407

190 conjugacy classes of subgroups; only the 61 normal subgroups are shown.

normal subgroups only

This group has 190 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.

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

μ_t(G) = 6704

Polycyclic presentation:

2^6,419|a^2=e,e^2=f,b^a=bd,c^a=cf,g^c=g^418

4208 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26816, 511);