C₂×Q₃₂×#6157 #28328362

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₃₂×#6157
unambiguous semidirect product	D₅₃⋊(C₄×Q₃₂)

Fitting	C₂×Q₃₂×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×C₄×Q₃₂

678 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1113838);