C₂×C₁₃×D₇×C₅₃ #34064405

order	19292
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₅₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₃×D₇×C₅₃
unambiguous semidirect product	C₇⋊(C₂²×C₁₃×C₅₃)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₁₃×C₅₃)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₅₃	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₁₃×C₅₃
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₅₃	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₁₃×C₅₃

40 conjugacy classes of subgroups.

μ_t(G) = 9646

6890 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19292, 43);