C₂²×#11924604 #18011245

order	4736
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×#11924604
unambiguous semidirect product	D₃₇⋊(C₂×#106)

Fitting	C₂²×C₈×C₃₇ ⋊ C₄
Sylow	C₃₇ ⋊ 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) = 1184

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 21159);