C₅²×D₁₃×C₁₉⋊C₃ #49150274

order	37050
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅² · Schur multiplier (H₂) = C₅

Aliases

C₅²×D₁₃×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₅²	D₁₃×C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₃×C₁₉	C₂×C₃×C₅²
Frattini	C₁	G
Fitting, socle	C₅²×C₁₃×C₁₉	C₂×C₃
LCS	G ▷ C₁₃×C₁₉
UCS	C₁ ◁ C₅²

128 conjugacy classes of subgroups.

μ_t(G) = 6175

1800 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37050, 100);