C₃×D₇×C₂₃×D₁₇ #45659286

order	32844
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×C₂₃×D₁₇

	subgroup	G/H
center, hypercenter	C₃×C₂₃	D₇×D₁₇
commutator, cosocle, hypocenter	C₇×C₁₇	C₂²×C₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₂₃	C₂²
LCS	G ▷ C₇×C₁₇
UCS	C₁ ◁ C₃×C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 8211

3450 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32844, 51);