C₈×#14579137 #34295677

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

Aliases

Fitting	C₂×C₈×Q₈×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₈×C₂²⋊Q₈

990 conjugacy classes of subgroups.

μ_t(G) = 10112

3232 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 176976);