C₄×#19098758 #34294445

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₄²×D₄×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₄×#459

1272 conjugacy classes of subgroups.

μ_t(G) = 10112

3196 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 175744);