D₄×C₄⋊(C₇₉⋊C₈) #34306291

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

C₇₉ ⋊ D₄×C₄⋊C₈

1200 conjugacy classes of subgroups.

μ_t(G) = 10112

3220 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 187590);