C₅²×C₇×D₅₇ #34093113

order	19950
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×C₇×D₅₇
unambiguous semidirect product	C₃⋊(C₅²×C₇×D₁₉)
unambiguous semidirect product	C₁₉⋊(C₅²×D₃×C₇)

	subgroup	G/H
center, hypercenter	C₅²×C₇	D₅₇
commutator, cosocle, hypocenter	C₃×C₁₉	C₂×C₅²×C₇
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₇×C₁₉	C₂
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₅²×C₇

128 conjugacy classes of subgroups.

μ_t(G) = 9975

5250 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19950, 152);