C₂²×D₅₃⋊(C₂²⋊C₈) #28329204

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹¹

Aliases

direct product	C₂²×D₅₃⋊(C₂²⋊C₈)
unambiguous semidirect product	D₅₃⋊(C₂²×C₂²⋊C₈)

C₅₃ ⋊ C₂³×C₂²⋊C₈

7646 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114680);