D₄×D₅₃⋊M₁₆ #28329461

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

direct product	D₄×D₅₃⋊M₁₆
unambiguous semidirect product	D₅₃⋊(D₄×M₁₆)

C₅₃ ⋊ C₂×D₄×M₁₆

3218 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114937);