C₂×C₁₃×D₇×C₂₉ #24902243

order	10556
isoclinism	isoclinic class of D₇
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₂₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₃×D₇×C₂₉
unambiguous semidirect product	C₇⋊(C₂²×C₁₃×C₂₉)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₁₃×C₂₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₂₉	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₁₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₂₉	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₁₃×C₂₉

40 conjugacy classes of subgroups.

3770 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10556, 47);