C₄⋊C₄×#11758199 #29698404

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	D₄×C₄⋊C₄×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ C₄⋊C₄×D₈

1134 conjugacy classes of subgroups.

μ_t(G) = 7808

1570 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 187959);