C₂×C₄×C₄⋊C₄×D₇₉ #34446445

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂×C₄×C₄⋊C₄×D₇₉

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

5758 conjugacy classes of subgroups.

μ_t(G) = 10112

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 327744);