D₇×C₃₁×C₁₉⋊C₃ #37613150

order	24738
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

D₇×C₃₁×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₃₁	D₇×C₁₉⋊C₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂×C₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₃₁	C₂×C₃
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₃₁

32 conjugacy classes of subgroups.

μ_t(G) = 4123

1395 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24738, 70);