C₄×Q₈×#168 #12097908

order	1280
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

C₅ ⋊ C₄×C₈×Q₈

1070 conjugacy classes of subgroups.

μ_t(G) = 1280

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 168176);