C₂×Q₁₆×C₇₉⋊C₈ #34257640

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

Aliases

C₂×Q₁₆×C₇₉⋊C₈

C₇₉ ⋊ C₂×C₈×Q₁₆

734 conjugacy classes of subgroups.

μ_t(G) = 20224

2296 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 138939);