C₅²×D₃×C₇×D₁₁ #37528638

order	23100
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅²×C₇ · Schur multiplier (H₂) = C₂×C₅

Aliases

C₅²×D₃×C₇×D₁₁

	subgroup	G/H
center, hypercenter	C₅²×C₇	D₃×D₁₁
commutator, cosocle, hypocenter	C₃×C₁₁	C₂²×C₅²×C₇
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₇×C₁₁	C₂²
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₅²×C₇

320 conjugacy classes of subgroups; only the 160 normal subgroups are shown.

normal subgroups only

This group has 320 conjugacy classes of subgroups — too many to draw. Only its 160 normal subgroups are shown.

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

μ_t(G) = 5775

3675 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23100, 449);