C₇×C₁₉×C₃⋊(D₁₃⋊C₃) #44527908

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×C₃⋊(D₁₃⋊C₃)
unambiguous semidirect product	C₃⋊(C₇×C₁₉×D₁₃⋊C₃)
unambiguous semidirect product	(C₁₃⋊C₃)⋊(D₃×C₇×C₁₉)
unambiguous semidirect product	D₃₉⋊(C₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	C₃⋊(D₁₃⋊C₃)
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₉	C₂×C₃
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₇×C₁₉

72 conjugacy classes of subgroups.

μ_t(G) = 5187

1995 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 391);