C₂×D₃×C₁₃×C₁₉₇ #44502249

order	30732
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₁₉₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₁₃×C₁₉₇
unambiguous semidirect product	C₃⋊(C₂²×C₁₃×C₁₉₇)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₁₃×C₁₉₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₁₉₇	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₁₃×C₁₉₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₃×C₁₉₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₁₃×C₁₉₇

40 conjugacy classes of subgroups.

μ_t(G) = 15366

15366 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30732, 49);