C₃×C₇×C₁₉×D₃₁ #37613095

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

Aliases

C₃×C₇×C₁₉×D₃₁

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

32 conjugacy classes of subgroups.

μ_t(G) = 12369

6783 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24738, 15);