Extensions 1→N→G→Q→1 with N=C72 and Q=C6

Direct product G=N×Q with N=C72 and Q=C6
dρLabelID
C7×C42294C7xC42294,23

Semidirect products G=N:Q with N=C72 and Q=C6
extensionφ:Q→Aut NdρLabelID
C72⋊1C6 = C7×F7φ: C6/C1 → C6 ⊆ Aut C72426C7^2:1C6294,8
C72⋊2C6 = D7×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C72426C7^2:2C6294,9
C72⋊3C6 = C7⋊5F7φ: C6/C1 → C6 ⊆ Aut C72216+C7^2:3C6294,10
C72⋊4C6 = C7⋊3F7φ: C6/C1 → C6 ⊆ Aut C72426C7^2:4C6294,11
C72⋊5C6 = C7⋊4F7φ: C6/C1 → C6 ⊆ Aut C72146C7^2:5C6294,12
C72⋊6C6 = C7⋊F7φ: C6/C1 → C6 ⊆ Aut C7249C7^2:6C6294,13
C72⋊7C6 = C72⋊C6φ: C6/C1 → C6 ⊆ Aut C72216+C7^2:7C6294,14
C72⋊8C6 = C14×C7⋊C3φ: C6/C2 → C3 ⊆ Aut C72423C7^2:8C6294,15
C72⋊9C6 = C2×C72⋊C3φ: C6/C2 → C3 ⊆ Aut C7298C7^2:9C6294,16
C72⋊10C6 = C2×C72⋊3C3φ: C6/C2 → C3 ⊆ Aut C72423C7^2:10C6294,17
C72⋊11C6 = D7×C21φ: C6/C3 → C2 ⊆ Aut C72422C7^2:11C6294,18
C72⋊12C6 = C3×C7⋊D7φ: C6/C3 → C2 ⊆ Aut C72147C7^2:12C6294,19


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