C₂×AGL(1,ℤ/8)×#6157 #28329527

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

Aliases

direct product	C₂×AGL(1,ℤ/8)×#6157
unambiguous semidirect product	D₅₃⋊(C₄×AGL(1,ℤ/8))

Fitting	C₂×AGL(1,ℤ/8)×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×C₄×AGL(1,ℤ/8)

3242 conjugacy classes of subgroups.

μ_t(G) = 848

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1115003);