Extensions 1→N→G→Q→1 with N=C5 and Q=C2×CSU2(𝔽3)

Direct product G=N×Q with N=C5 and Q=C2×CSU2(𝔽3)
dρLabelID
C10×CSU2(𝔽3)160C10xCSU(2,3)480,1016

Semidirect products G=N:Q with N=C5 and Q=C2×CSU2(𝔽3)
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×CSU2(𝔽3)) = D5×CSU2(𝔽3)φ: C2×CSU2(𝔽3)/CSU2(𝔽3) → C2 ⊆ Aut C5804-C5:1(C2xCSU(2,3))480,971
C5⋊2(C2×CSU2(𝔽3)) = C2×Q8.D15φ: C2×CSU2(𝔽3)/C2×SL2(𝔽3) → C2 ⊆ Aut C5160C5:2(C2xCSU(2,3))480,1027


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