D₇×C₁₉×C₅²⋊C₃ #34093090

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

Aliases

D₇×C₁₉×C₅²⋊C₃

	subgroup	G/H
center, hypercenter	C₁₉	D₇×C₅²⋊C₃
commutator, cosocle, hypocenter	C₅²×C₇	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₅²×C₇×C₁₉	C₂×C₃
LCS	G ▷ C₅²×C₇
UCS	C₁ ◁ C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 1995

1045 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19950, 129);