C₂²×C₄×#13062438 #36342365

order	21568
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13062438
unambiguous semidirect product	D₃₃₇⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₃₃₇ ⋊ C₄
derived, Sylow	C₃₃₇ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 5392

1408 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21568, 1609);