C₅⋊D₅×C₅₀₃ #38737675

order	25150
automorphism	?
homology	Abelianization (H₁) = C₂×C₅₀₃ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅⋊D₅×C₅₀₃
unambiguous semidirect product	C₅⋊(D₅×C₅₀₃)

Fitting, socle, Hall	C₅²×C₅₀₃ ⋊ C₂
derived, Sylow	C₅² ⋊ C₂×C₅₀₃

	subgroup	G/H
center, hypercenter	C₅₀₃	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₅₀₃
Frattini	C₁	G
Fitting, socle	C₅²×C₅₀₃	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₅₀₃

32 conjugacy classes of subgroups.

μ_t(G) = 12575

7042 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25150, 9);