C₂₇×#638 #14517682

order	1944
isoclinism	isoclinic class of #634
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

Fitting	C₂²×C₃²×C₂₇ ⋊ C₂
Sylow	C₃²×C₂₇ ⋊ D₄

312 conjugacy classes of subgroups; only the 84 normal subgroups are shown.

normal subgroups only

This group has 312 conjugacy classes of subgroups — too many to draw. Only its 84 normal subgroups are shown.

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

μ_t(G) = 324

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2076);