C₄×#19098947 #34296715

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

Fitting	C₄²×C₈×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₄×#495

1150 conjugacy classes of subgroups.

μ_t(G) = 10112

5080 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 178014);