C₃²×C₁₉²⋊C₅ #30634193

order	16245
automorphism	?
homology	Abelianization (H₁) = C₃²×C₅ · Schur multiplier (H₂) = C₃×C₁₉

Aliases

direct product	C₃²×C₁₉²⋊C₅
unambiguous semidirect product	(C₃²×C₁₉²)⋊C₅

Fitting, socle, Hall	C₃²×C₁₉² ⋊ C₅
derived, Sylow	C₁₉² ⋊ C₃²×C₅

	subgroup	G/H
center, hypercenter	C₃²	C₁₉²⋊C₅
commutator, cosocle, hypocenter	C₁₉²	C₃²×C₅
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉²	C₅
LCS	G ▷ C₁₉²
UCS	C₁ ◁ C₃²

48 conjugacy classes of subgroups.

μ_t(G) = 855

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16245, 23);