C₃²×C₁₃×D₇×D₁₁ #49114896

order	36036
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₃²×C₁₃×D₇×D₁₁

	subgroup	G/H
center, hypercenter	C₃²×C₁₃	D₇×D₁₁
commutator, cosocle, hypocenter	C₇×C₁₁	C₂²×C₃²×C₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₁×C₁₃	C₂²
LCS	G ▷ C₇×C₁₁
UCS	C₁ ◁ C₃²×C₁₃

240 conjugacy classes of subgroups; only the 120 normal subgroups are shown.

normal subgroups only

This group has 240 conjugacy classes of subgroups — too many to draw. Only its 120 normal subgroups are shown.

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

μ_t(G) = 9009

4095 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36036, 564);