C₈×M₁₆×D₆₁ #29645583

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

C₈×M₁₆×D₆₁

Fitting	C₈×M₁₆×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ C₂×C₈×M₁₆

1046 conjugacy classes of subgroups.

μ_t(G) = 3904

2560 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 135138);