C₂×C₃×D₁₃×C₁₉₇ #44502247

order	30732
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉₇ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×D₁₃×C₁₉₇

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉₇	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₃×C₁₉₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₃×C₁₉₇	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂×C₃×C₁₉₇

40 conjugacy classes of subgroups.

μ_t(G) = 15366

9456 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30732, 47);