D₃×C₇×C₂₃×D₁₇ #45659294

order	32844
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₇×C₂₃×D₁₇
unambiguous semidirect product	(D₃×C₁₇)⋊(C₂×C₇×C₂₃)
unambiguous semidirect product	(C₃×D₁₇)⋊(C₂×C₇×C₂₃)
unambiguous semidirect product	D₅₁⋊(C₂×C₇×C₂₃)

	subgroup	G/H
center, hypercenter	C₇×C₂₃	D₃×D₁₇
commutator, cosocle, hypocenter	C₃×C₁₇	C₂²×C₇×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₂₃	C₂²
LCS	G ▷ C₃×C₁₇
UCS	C₁ ◁ C₇×C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 8211

4830 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32844, 59);