C₂×C₄×C₈×#6923 #30613809

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

C₂×C₄×C₈×#6923

Fitting	C₂×C₄×C₈×C₆₁ ⋊ C₄
derived, Sylow	C₆₁ ⋊ C₂×C₄²×C₈

2046 conjugacy classes of subgroups.

μ_t(G) = 3904

1216 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1103364);