C₂²×C₄×#14524194 #46831235

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#14524194
unambiguous semidirect product	D₅₄₁⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₅₄₁ ⋊ C₄
derived, Sylow	C₅₄₁ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 8656

2224 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1609);