C₂²×C₄⋊#14524194 #46831237

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₅₄₁ ⋊ C₄
Sylow	C₅₄₁ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 8656

2200 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1611);