#45664610

order	32896
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₂×C₂²⋊C₈×C₂₅₇ ⋊ C₂
Sylow	C₂₅₇ ⋊ #1869

432 conjugacy classes of subgroups; only the 129 normal subgroups are shown.

normal subgroups only

This group has 432 conjugacy classes of subgroups — too many to draw. Only its 129 normal subgroups are shown.

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

μ_t(G) = 16448

Polycyclic presentation:

2^7,257|a^2=f,b^2=df,f^2=g,b^a=bd,c^a=ce,h^b=h^256

5176 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32896, 4800);