C₈×Q₈×#6923 #30614541

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

Aliases

Fitting	C₈×Q₈×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₄×C₈×Q₈

1070 conjugacy classes of subgroups.

μ_t(G) = 3904

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1104096);