C₂×C₇⋊D₇×C₁₀₁ #34090181

order	19796
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₀₁ · Schur multiplier (H₂) = C₂×C₇

Aliases

direct product	C₂×C₇⋊D₇×C₁₀₁
unambiguous semidirect product	(C₂×C₇)⋊(D₇×C₁₀₁)

	subgroup	G/H
center, hypercenter	C₂×C₁₀₁	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂²×C₁₀₁
Frattini	C₁	G
Fitting, socle	C₂×C₇²×C₁₀₁	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₂×C₁₀₁

100 conjugacy classes of subgroups.

μ_t(G) = 9898

5252 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19796, 31);