C₇²×C₃⋊D₃×D₁₉ #45692728

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

Aliases

direct product	C₇²×C₃⋊D₃×D₁₉
unambiguous semidirect product	(C₃×D₁₉)⋊(D₃×C₇²)

	subgroup	G/H
center, hypercenter	C₇²	C₃⋊D₃×D₁₉
commutator, cosocle, hypocenter	C₃²×C₁₉	C₂²×C₇²
Frattini	C₁	G
Fitting, socle	C₃²×C₇²×C₁₉	C₂²
LCS	G ▷ C₃²×C₁₉
UCS	C₁ ◁ C₇²

600 conjugacy classes of subgroups.

μ_t(G) = 8379

3234 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33516, 1526);