Extensions 1→N→G→Q→1 with N=C35 and Q=C2×C6

Direct product G=N×Q with N=C35 and Q=C2×C6
dρLabelID
C2×C210420C2xC210420,41

Semidirect products G=N:Q with N=C35 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C35⋊(C2×C6) = D5×F7φ: C2×C6/C1C2×C6 ⊆ Aut C353512+C35:(C2xC6)420,16
C352(C2×C6) = C2×C5⋊F7φ: C2×C6/C2C6 ⊆ Aut C35706+C35:2(C2xC6)420,19
C353(C2×C6) = C10×F7φ: C2×C6/C2C6 ⊆ Aut C35706C35:3(C2xC6)420,17
C354(C2×C6) = C2×D5×C7⋊C3φ: C2×C6/C2C6 ⊆ Aut C35706C35:4(C2xC6)420,18
C355(C2×C6) = C3×D5×D7φ: C2×C6/C3C22 ⊆ Aut C351054C35:5(C2xC6)420,24
C356(C2×C6) = C2×C10×C7⋊C3φ: C2×C6/C22C3 ⊆ Aut C35140C35:6(C2xC6)420,31
C357(C2×C6) = C6×D35φ: C2×C6/C6C2 ⊆ Aut C352102C35:7(C2xC6)420,36
C358(C2×C6) = D7×C30φ: C2×C6/C6C2 ⊆ Aut C352102C35:8(C2xC6)420,34
C359(C2×C6) = D5×C42φ: C2×C6/C6C2 ⊆ Aut C352102C35:9(C2xC6)420,35


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