D₃×C₂₃×D₉₅ #39910789

order	26220
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₂₃×D₉₅
unambiguous semidirect product	(C₅×D₃)⋊(C₂₃×D₁₉)
unambiguous semidirect product	(D₃×C₁₉)⋊(D₅×C₂₃)

	subgroup	G/H
center, hypercenter	C₂₃	D₃×D₉₅
commutator, cosocle, hypocenter	C₃×C₅×C₁₉	C₂²×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₃	C₂²
LCS	G ▷ C₃×C₅×C₁₉
UCS	C₁ ◁ C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 6555

3381 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 79);