C₃×D₇×C₁₇⋊D₁₇ #37566265

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

Aliases

C₃×D₇×C₁₇⋊D₁₇

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

400 conjugacy classes of subgroups.

μ_t(G) = 6069

2190 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24276, 118);