C₂³×C₄×#11924078 #49175755

order	37504
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂³×C₄×#11924078
unambiguous semidirect product	D₂₉₃⋊(C₂²×C₄²)

Fitting	C₂³×C₄×C₂₉₃ ⋊ C₄
derived, Sylow	C₂₉₃ ⋊ C₂³×C₄²

3000 conjugacy classes of subgroups.

μ_t(G) = 9376

2464 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37504, 21480);