C₂²×C₄⋊#13062438 #36342367

order	21568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×C₄⋊#13062438
unambiguous semidirect product	D₃₃₇⋊(C₂×C₄⋊C₄)

Fitting	C₂²×C₄×C₃₃₇ ⋊ C₄
Sylow	C₃₃₇ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 5392

1384 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21568, 1611);