C₂²×C₄⋊#13083443 #36378849

order	22592
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₃₅₃ ⋊ C₄
Sylow	C₃₅₃ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 5648

1448 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22592, 1611);