C₂×D₃×C₃₁×C₇₉ #44440533

order	29388
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃₁×C₇₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₃₁×C₇₉
unambiguous semidirect product	C₃⋊(C₂²×C₃₁×C₇₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₃₁×C₇₉)

	subgroup	G/H
center, hypercenter	C₂×C₃₁×C₇₉	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₃₁×C₇₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₃₁×C₇₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₃₁×C₇₉

40 conjugacy classes of subgroups.

μ_t(G) = 14694

14694 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29388, 61);