C₈×#14579144 #34295228

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	C₂²×C₄×C₈×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₈×#123

1034 conjugacy classes of subgroups.

μ_t(G) = 10112

5104 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 176527);