C₂×C₃²⋊(C₂²⋊C₂₇) #14516618

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₂₇ · Schur multiplier (H₂) = C₂×C₃²

Aliases

direct product	C₂×C₃²⋊(C₂²⋊C₂₇)
unambiguous semidirect product	(C₂×C₃²)⋊(C₂²⋊C₂₇)

C₂³ ⋊ C₃²⋊C₂₇

340 conjugacy classes of subgroups; only the 76 normal subgroups are shown.

normal subgroups only

This group has 340 conjugacy classes of subgroups — too many to draw. Only its 76 normal subgroups are shown.

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

μ_t(G) = 162

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1012);