C₂×C₃²×C₇²×D₁₉ #45692765

order	33516
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₇² · Schur multiplier (H₂) = C₂×C₃×C₇

Aliases

C₂×C₃²×C₇²×D₁₉

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₇²	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃²×C₇²
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇²×C₁₉	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₃²×C₇²

600 conjugacy classes of subgroups.

μ_t(G) = 16758

9702 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33516, 1563);