C₁₇×C₁₉×D₄₉ #44539603

order	31654
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₁₉×D₄₉
unambiguous semidirect product	C₄₉⋊(C₂×C₁₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₇×C₁₉	D₄₉
commutator, cosocle, hypocenter	C₄₉	C₂×C₁₇×C₁₉
Frattini	C₇	D₇×C₁₇×C₁₉
Fitting	C₁₇×C₁₉×C₄₉	C₂
socle	C₇×C₁₇×C₁₉	D₇
LCS	G ▷ C₄₉
UCS	C₁ ◁ C₁₇×C₁₉

24 conjugacy classes of subgroups.

μ_t(G) = 15827

8398 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31654, 5);