C₇⋊C₉×D₂₄₇ #44527577

order	31122
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₁

Aliases

C₇⋊C₉×D₂₄₇

	subgroup	G/H
center, Frattini, hypercenter	C₃	ΓL(1,𝔽₈)×D₂₄₇
commutator, hypocenter	C₇×C₁₃×C₁₉	C₂×C₉
Fitting, socle, cosocle	C₃×C₇×C₁₃×C₁₉	C₂×C₃
prime radical	C₃×C₇×D₂₄₇	C₃
LCS	G ▷ C₇×C₁₃×C₁₉
UCS	C₁ ◁ C₃

48 conjugacy classes of subgroups.

μ_t(G) = 15561

1875 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31122, 60);