C₂×C₇×C₁₉×C₃⋊D₁₅ #37561648

order	23940
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₇×C₁₉×C₃⋊D₁₅
unambiguous semidirect product	(C₂×C₃)⋊(C₇×C₁₉×D₁₅)
unambiguous semidirect product	(C₂×C₅)⋊(C₇×C₃⋊D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₉	C₃⋊D₁₅
commutator, cosocle, hypocenter	C₃²×C₅	C₂²×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₇×C₁₉	C₂
LCS	G ▷ C₃²×C₅
UCS	C₁ ◁ C₂×C₇×C₁₉

240 conjugacy classes of subgroups.

μ_t(G) = 11970

6384 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23940, 780);