C₄×C₄⋊C₈×D₇₉ #34286138

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₄×C₄⋊C₈×D₇₉

Fitting	C₄×C₄⋊C₈×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₂×C₄×C₄⋊C₈

1550 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, 167437);