C₄×Q₈×C₇₉⋊C₈ #34286877

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

C₄×Q₈×C₇₉⋊C₈

C₇₉ ⋊ C₄×C₈×Q₈

1070 conjugacy classes of subgroups.

μ_t(G) = 20224

3280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 168176);