C₂²×C₄×#13083443 #36378847

order	22592
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13083443
unambiguous semidirect product	D₃₅₃⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₃₅₃ ⋊ C₄
derived, Sylow	C₃₅₃ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 5648

1472 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22592, 1609);