C₄⋊C₈×D₂₄₄ #29698036

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

C₄⋊C₈×D₂₄₄

Fitting	C₄×C₄⋊C₈×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ D₄×C₄⋊C₈

1200 conjugacy classes of subgroups.

μ_t(G) = 7808

2500 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 187591);