#46831045

order	34624
automorphism	?
homology	Abelianization (H₁) = C₄² · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

Fitting	C₄⋊C₄×C₅₄₁ ⋊ C₄
Sylow	C₅₄₁ ⋊ #339

110 conjugacy classes of subgroups.

μ_t(G) = 8656

Polycyclic presentation:

2^6,541|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=cf,e^a=ef,g^b=g^52,g^e=g^540

1378 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1419);