C₃×D₃×D₇×C₁₀₇ #41004129

order	26964
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₀₇ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₃×D₇×C₁₀₇

	subgroup	G/H
center, hypercenter	C₃×C₁₀₇	D₃×D₇
commutator, cosocle, hypocenter	C₃×C₇	C₂²×C₃×C₁₀₇
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₀₇	C₂²
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₃×C₁₀₇

88 conjugacy classes of subgroups.

μ_t(G) = 4494

4815 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26964, 78);