C₁₇×D₂₁⋊D₁₉ #41029595

order	27132
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₁₇×D₂₁⋊D₁₉
unambiguous semidirect product	D₂₁⋊(C₁₇×D₁₉)
unambiguous semidirect product	D₅₇⋊(D₇×C₁₇)
unambiguous semidirect product	D₁₃₃⋊(D₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₁₇	D₂₁⋊D₁₉
commutator, cosocle, hypocenter	C₃×C₇×C₁₉	C₂²×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₁₉	C₂²
LCS	G ▷ C₃×C₇×C₁₉
UCS	C₁ ◁ C₁₇

80 conjugacy classes of subgroups.

μ_t(G) = 6783

2091 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27132, 152);