C₂²×(C₂×D₅₂₃)⋊C₄ #45690652

order	33472
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂³×C₄×C₅₂₃ ⋊ C₂
Sylow	C₅₂₃ ⋊ C₂²×C₂²⋊C₄

674 conjugacy classes of subgroups.

μ_t(G) = 16736

8392 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33472, 996);