C₂²×#22575813 #46830622

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂³×C₄×C₅₄₁ ⋊ C₂
Sylow	C₅₄₁ ⋊ C₂²×C₂²⋊C₄

674 conjugacy classes of subgroups.

μ_t(G) = 17312

8680 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 996);