C₂×C₁₃×D₅₃⋊C₁₃ #49089302

order	35828
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃² · Schur multiplier (H₂) = C₂×C₁₃

Aliases

direct product	C₂×C₁₃×D₅₃⋊C₁₃
unambiguous semidirect product	D₅₃⋊(C₂×C₁₃²)
unambiguous semidirect product	(C₂×D₅₃)⋊C₁₃²
unambiguous semidirect product	(C₅₃⋊C₁₃)⋊(C₂²×C₁₃)
unambiguous semidirect product	(C₂×C₅₃⋊C₁₃)⋊(C₂×C₁₃)
unambiguous semidirect product	(C₂×C₁₃×D₅₃)⋊C₁₃

	subgroup	G/H
center, hypercenter	C₂×C₁₃	D₅₃⋊C₁₃
commutator, cosocle, hypocenter	C₅₃	C₂²×C₁₃²
Frattini	C₁	G
Fitting, socle	C₂×C₁₃×C₅₃	C₂×C₁₃
LCS	G ▷ C₅₃
UCS	C₁ ◁ C₂×C₁₃

160 conjugacy classes of subgroups.

μ_t(G) = 1378

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35828, 39);