C₂×C₁₁×C₁₉×D₂₉ #37564620

order	24244
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₁×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₁×C₁₉×D₂₉
unambiguous semidirect product	C₂₉⋊(C₂²×C₁₁×C₁₉)
unambiguous semidirect product	(C₂×C₂₉)⋊(C₂×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₁×C₁₉	D₂₉
commutator, cosocle, hypocenter	C₂₉	C₂²×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₁×C₁₉×C₂₉	C₂
LCS	G ▷ C₂₉
UCS	C₁ ◁ C₂×C₁₁×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 12122

6688 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24244, 21);