C₂×C₅×C₁₃×C₇₃⋊C₃ #43249683

order	28470
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₅×C₁₃×C₇₃⋊C₃
unambiguous semidirect product	(C₂×C₇₃)⋊(C₃×C₅×C₁₃)
unambiguous semidirect product	(C₂×C₅×C₇₃)⋊(C₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₃	C₇₃⋊C₃
commutator, cosocle, hypocenter	C₇₃	C₂×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₃×C₇₃	C₃
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₂×C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 9490

3510 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28470, 2);