#46830052

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₂×C₂²⋊C₄×C₅₄₁ ⋊ C₂
Sylow	C₅₄₁ ⋊ #386

286 conjugacy classes of subgroups; only the 83 normal subgroups are shown.

normal subgroups only

This group has 286 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.

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

μ_t(G) = 17312

Polycyclic presentation:

2^6,541|a^2=f,b^2=df,b^a=bd,c^a=ce,g^b=g^540

5428 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 426);