C₂×C₁₃×C₁₉×D₃₃ #45656835

order	32604
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₃×C₁₉×D₃₃
unambiguous semidirect product	(C₂×C₃)⋊(C₁₃×C₁₉×D₁₁)
unambiguous semidirect product	(C₂×C₁₁)⋊(D₃×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₁₉	D₃₃
commutator, cosocle, hypocenter	C₃×C₁₁	C₂²×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₁×C₁₃×C₁₉	C₂
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₂×C₁₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 16302

8892 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32604, 185);