C₁₉×D₁₇×C₃₇ #37560754

order	23902
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₁₇×C₃₇
unambiguous semidirect product	C₁₇⋊(C₂×C₁₉×C₃₇)

	subgroup	G/H
center, hypercenter	C₁₉×C₃₇	D₁₇
commutator, cosocle, hypocenter	C₁₇	C₂×C₁₉×C₃₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₁₉×C₃₇	C₂
LCS	G ▷ C₁₇
UCS	C₁ ◁ C₁₉×C₃₇

16 conjugacy classes of subgroups.

μ_t(G) = 11951

7030 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23902, 5);