C₂³×#14519846 #30625239

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂³×#14519846
unambiguous semidirect product	D₆₁⋊(C₂²×#107)

Fitting	C₂³×C₈×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂³×#107

3614 conjugacy classes of subgroups; only the 1464 normal subgroups are shown.

normal subgroups only

This group has 3614 conjugacy classes of subgroups — too many to draw. Only its 1464 normal subgroups are shown.

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

μ_t(G) = 3904

1072 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1114794);