C₂×C₄²×D₅₄₁ #46830619

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

Aliases

C₂×C₄²×D₅₄₁

Fitting	C₂×C₄²×C₅₄₁ ⋊ C₂
derived, Sylow	C₅₄₁ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 17312

8704 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 993);