C₄×C₂²⋊Q₈×D₇₉ #34446711

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

C₄×C₂²⋊Q₈×D₇₉

Fitting	C₄×C₂²⋊Q₈×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₂×C₄×C₂²⋊Q₈

3854 conjugacy classes of subgroups.

μ_t(G) = 5056

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 328010);