C₂×C₃²×D₇×C₁₀₇ #41004153

order	26964
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₀₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×D₇×C₁₀₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₁₀₇	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃²×C₁₀₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇×C₁₀₇	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃²×C₁₀₇

120 conjugacy classes of subgroups.

μ_t(G) = 13482

9630 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26964, 102);