C₇×D₁₅×C₁₃₉ #44415907

order	29190
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×D₁₅×C₁₃₉
unambiguous semidirect product	C₃⋊(C₇×D₅×C₁₃₉)
unambiguous semidirect product	C₅⋊(D₃×C₇×C₁₃₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₃₉	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₇×C₁₃₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇×C₁₃₉	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₇×C₁₃₉

32 conjugacy classes of subgroups.

μ_t(G) = 14595

8757 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29190, 17);