C₁₃×ΓL(1,𝔽₈)×D₅₇ #44527963

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×ΓL(1,𝔽₈)×D₅₇
unambiguous semidirect product	C₃⋊(C₁₃×ΓL(1,𝔽₈)×D₁₉)

	subgroup	G/H
center, hypercenter	C₁₃	ΓL(1,𝔽₈)×D₅₇
commutator, cosocle, hypocenter	C₃×C₇×C₁₉	C₂×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₉	C₂×C₃
LCS	G ▷ C₃×C₇×C₁₉
UCS	C₁ ◁ C₁₃

72 conjugacy classes of subgroups.

μ_t(G) = 5187

1950 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 446);