C₈×#14579119 #34286471

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

Fitting	C₈×C₄⋊C₄×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₈×#117

1174 conjugacy classes of subgroups.

μ_t(G) = 10112

3280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 167770);