C₂×C₇×C₁₉×C₅²⋊C₃ #34093098

order	19950
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₂×C₇×C₁₉×C₅²⋊C₃
unambiguous semidirect product	(C₂×C₅²)⋊(C₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	C₅²⋊C₃
commutator, cosocle, hypocenter	C₅²	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅²×C₇×C₁₉	C₃
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂×C₇×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 3990

2926 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19950, 137);