C₂³×Q₈×#6923 #30626723

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁴

Aliases

direct product	C₂³×Q₈×#6923
unambiguous semidirect product	D₆₁⋊(C₂²×C₄×Q₈)

Fitting	C₂³×Q₈×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂³×C₄×Q₈

12446 conjugacy classes of subgroups; only the 6264 normal subgroups are shown.

normal subgroups only

This group has 12446 conjugacy classes of subgroups — too many to draw. Only its 6264 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

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, 1116278);