C₂×D₉×C₂₉×C₃₇ #50311162

order	38628
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₉×C₃₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₉×C₂₉×C₃₇
unambiguous semidirect product	C₉⋊(C₂²×C₂₉×C₃₇)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₂₉×C₃₇)

	subgroup	G/H
center, hypercenter	C₂×C₂₉×C₃₇	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₂₉×C₃₇
Frattini	C₃	C₂×D₃×C₂₉×C₃₇
Fitting	C₂×C₉×C₂₉×C₃₇	C₂
socle	C₂×C₃×C₂₉×C₃₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₂₉×C₃₇

60 conjugacy classes of subgroups.

μ_t(G) = 19314

12876 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38628, 49);