C₃×D₇×C₁₇×D₁₇ #37566260

order	24276
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×C₁₇×D₁₇

	subgroup	G/H
center, hypercenter	C₃×C₁₇	D₇×D₁₇
commutator, cosocle, hypocenter	C₇×C₁₇	C₂²×C₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇²	C₂²
LCS	G ▷ C₇×C₁₇
UCS	C₁ ◁ C₃×C₁₇

144 conjugacy classes of subgroups.

μ_t(G) = 714

2550 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24276, 113);