C₅²×D₇×D₃₁ #36343872

order	21700
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅² · Schur multiplier (H₂) = C₂×C₅

Aliases

C₅²×D₇×D₃₁

	subgroup	G/H
center, hypercenter	C₅²	D₇×D₃₁
commutator, cosocle, hypocenter	C₇×C₃₁	C₂²×C₅²
Frattini	C₁	G
Fitting, socle	C₅²×C₇×C₃₁	C₂²
LCS	G ▷ C₇×C₃₁
UCS	C₁ ◁ C₅²

160 conjugacy classes of subgroups.

μ_t(G) = 5425

2125 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21700, 77);