C₂×C₉⋊(C₂²⋊C₂₇) #14516567

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

Aliases

direct product	C₂×C₉⋊(C₂²⋊C₂₇)
unambiguous semidirect product	(C₂×C₉)⋊(C₂²⋊C₂₇)

C₂³ ⋊ C₉⋊C₂₇

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

normal subgroups only

This group has 196 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) = 486

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 961);