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

Direct product G=N×Q with N=C35 and Q=C6
dρLabelID
C2102101C210210,12

Semidirect products G=N:Q with N=C35 and Q=C6
extensionφ:Q→Aut NdρLabelID
C35⋊1C6 = C5⋊F7φ: C6/C1 → C6 ⊆ Aut C35356+C35:1C6210,3
C35⋊2C6 = C5×F7φ: C6/C1 → C6 ⊆ Aut C35356C35:2C6210,1
C35⋊3C6 = D5×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C35356C35:3C6210,2
C35⋊4C6 = C10×C7⋊C3φ: C6/C2 → C3 ⊆ Aut C35703C35:4C6210,4
C35⋊5C6 = C3×D35φ: C6/C3 → C2 ⊆ Aut C351052C35:5C6210,7
C35⋊6C6 = D7×C15φ: C6/C3 → C2 ⊆ Aut C351052C35:6C6210,5
C35⋊7C6 = D5×C21φ: C6/C3 → C2 ⊆ Aut C351052C35:7C6210,6


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