C₈×#14579155 #34296482

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁴

Aliases

Fitting	C₄²×C₈×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₈×#126

786 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, 177781);