C₂×C₇²×C₁₇×C₃⋊D₃ #44473020

order	29988
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇²×C₁₇ · Schur multiplier (H₂) = C₂×C₃×C₇

Aliases

direct product	C₂×C₇²×C₁₇×C₃⋊D₃
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₇²×C₁₇)

	subgroup	G/H
center, hypercenter	C₂×C₇²×C₁₇	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₇²×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇²×C₁₇	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₇²×C₁₇

600 conjugacy classes of subgroups.

μ_t(G) = 14994

9996 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29988, 661);