C₄⋊C₄×D₅₆ #13372191

order	1792
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₇×C₈×C₄⋊C₄ ⋊ C₂
Sylow	C₇ ⋊ C₄⋊C₄×D₈

1134 conjugacy classes of subgroups.

μ_t(G) = 896

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 187963);