C₇×C₁₉×D₃₁⋊C₃ #37613110

order	24738
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×D₃₁⋊C₃
unambiguous semidirect product	D₃₁⋊(C₃×C₇×C₁₉)
unambiguous semidirect product	(C₃₁⋊C₃)⋊(C₂×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	D₃₁⋊C₃
commutator, cosocle, hypocenter	C₃₁	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₃₁	C₂×C₃
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 4123

1463 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24738, 30);