C₂×D₅₃⋊#410 #28329237

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

Aliases

direct product	C₂×D₅₃⋊#410
unambiguous semidirect product	D₅₃⋊(C₂×#410)

Fitting	C₂²×#41×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂²×#410

5278 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114713);