C₂×D₅₄₁⋊C₁₆ #46831229

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₆ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₂×D₅₄₁⋊C₁₆
unambiguous semidirect product	D₅₄₁⋊(C₂×C₁₆)

C₅₄₁ ⋊ C₂²×C₁₆

98 conjugacy classes of subgroups.

μ_t(G) = 17312

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1603);