C₂×C₃×C₁₃×D₁₉₉ #44526856

order	31044
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₁₃×D₁₉₉

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₃	D₁₉₉
commutator, cosocle, hypocenter	C₁₉₉	C₂²×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₃×C₁₉₉	C₂
LCS	G ▷ C₁₉₉
UCS	C₁ ◁ C₂×C₃×C₁₃

40 conjugacy classes of subgroups.

μ_t(G) = 15522

7878 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31044, 70);