C₂×#21461620 #30614219

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

Fitting	C₂×C₄⋊C₈×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂×#1771

1310 conjugacy classes of subgroups.

μ_t(G) = 3904

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1103774);