C₂²×D₅₄₁⋊C₈ #46831246

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×D₅₄₁⋊C₈
unambiguous semidirect product	D₅₄₁⋊(C₂²×C₈)

C₅₄₁ ⋊ C₂³×C₈

338 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, 1620);