C₂×C₇×C₁₉×C₁₉⋊C₃ #29503153

order	15162
isoclinism	isoclinic class of C₁₉⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₇×C₁₉×C₁₉⋊C₃
unambiguous semidirect product	(C₂×C₁₉)⋊(C₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₉²	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₇×C₁₉

56 conjugacy classes of subgroups.

μ_t(G) = 798

2394 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15162, 88);