C₂²×C₄⋊#13093637 #37560484

order	23872
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×C₄⋊#13093637
unambiguous semidirect product	D₃₇₃⋊(C₂×C₄⋊C₄)

Fitting	C₂²×C₄×C₃₇₃ ⋊ C₄
Sylow	C₃₇₃ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 5968

1528 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23872, 1611);