C₂²×C₄×#13093637 #37560482

order	23872
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13093637
unambiguous semidirect product	D₃₇₃⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₃₇₃ ⋊ C₄
derived, Sylow	C₃₇₃ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 5968

1552 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23872, 1609);