C₂²×C₁₃⋊C₃×C₁₉₇ #44502245

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

Aliases

C₂²×C₁₃⋊C₃×C₁₉₇

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

40 conjugacy classes of subgroups.

μ_t(G) = 10244

5516 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30732, 45);