C₄×Q₈×C₈₃⋊C₈ #35403012

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

C₄×Q₈×C₈₃⋊C₈

C₈₃ ⋊ C₄×C₈×Q₈

1070 conjugacy classes of subgroups.

μ_t(G) = 21248

3440 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 168176);