C₂²×#11745209 #16836141

order	3712
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×#11745209
unambiguous semidirect product	D₂₉⋊(C₂×#106)

Fitting	C₂²×C₈×C₂₉ ⋊ C₄
Sylow	C₂₉ ⋊ C₂²×#106

600 conjugacy classes of subgroups; only the 258 normal subgroups are shown.

normal subgroups only

This group has 600 conjugacy classes of subgroups — too many to draw. Only its 258 normal subgroups are shown.

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

μ_t(G) = 928

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 21159);