Extensions 1→N→G→Q→1 with N=C35 and Q=C2xC6

Direct product G=NxQ with N=C35 and Q=C2xC6
dρLabelID
C2xC210420C2xC210420,41

Semidirect products G=N:Q with N=C35 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
C35:(C2xC6) = D5xF7φ: C2xC6/C1C2xC6 ⊆ Aut C353512+C35:(C2xC6)420,16
C35:2(C2xC6) = C2xC5:F7φ: C2xC6/C2C6 ⊆ Aut C35706+C35:2(C2xC6)420,19
C35:3(C2xC6) = C10xF7φ: C2xC6/C2C6 ⊆ Aut C35706C35:3(C2xC6)420,17
C35:4(C2xC6) = C2xD5xC7:C3φ: C2xC6/C2C6 ⊆ Aut C35706C35:4(C2xC6)420,18
C35:5(C2xC6) = C3xD5xD7φ: C2xC6/C3C22 ⊆ Aut C351054C35:5(C2xC6)420,24
C35:6(C2xC6) = C2xC10xC7:C3φ: C2xC6/C22C3 ⊆ Aut C35140C35:6(C2xC6)420,31
C35:7(C2xC6) = C6xD35φ: C2xC6/C6C2 ⊆ Aut C352102C35:7(C2xC6)420,36
C35:8(C2xC6) = D7xC30φ: C2xC6/C6C2 ⊆ Aut C352102C35:8(C2xC6)420,34
C35:9(C2xC6) = D5xC42φ: C2xC6/C6C2 ⊆ Aut C352102C35:9(C2xC6)420,35


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