C₇₃×#2399 #22606552

order	9344
nilpotency class	2
isoclinism	isoclinic class of #392
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₇₃ · Schur multiplier (H₂) = C₂⁴

Aliases

	subgroup	G/H
center	C₂²×C₄×C₇₃	C₂³
commutator, Frattini, cosocle	C₂³	C₂⁴×C₇₃
socle, prime radical	C₂³×C₇₃	C₂⁴
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₇₃ ◁ G

504 conjugacy classes of subgroups; only the 248 normal subgroups are shown.

normal subgroups only

This group has 504 conjugacy classes of subgroups — too many to draw. Only its 248 normal subgroups are shown.

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

3212 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 1131);