C₃²×D₇×D₁₃₇ #46828646

order	34524
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

C₃²×D₇×D₁₃₇

	subgroup	G/H
center, hypercenter	C₃²	D₇×D₁₃₇
commutator, cosocle, hypocenter	C₇×C₁₃₇	C₂²×C₃²
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₃₇	C₂²
LCS	G ▷ C₇×C₁₃₇
UCS	C₁ ◁ C₃²

120 conjugacy classes of subgroups.

μ_t(G) = 8631

3150 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34524, 89);