C₃×C₇×C₁₉×D₃₇ #44443282

order	29526
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₇×C₁₉×D₃₇

	subgroup	G/H
center, hypercenter	C₃×C₇×C₁₉	D₃₇
commutator, cosocle, hypocenter	C₃₇	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₇	C₂
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₃×C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 14763

7980 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 15);