Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C12

Direct product G=N×Q with N=C7 and Q=C2×C12
dρLabelID
C2×C84168C2xC84168,39

Semidirect products G=N:Q with N=C7 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C71(C2×C12) = C4×F7φ: C2×C12/C4C6 ⊆ Aut C7286C7:1(C2xC12)168,8
C72(C2×C12) = C2×C7⋊C12φ: C2×C12/C22C6 ⊆ Aut C756C7:2(C2xC12)168,10
C73(C2×C12) = C2×C4×C7⋊C3φ: C2×C12/C2×C4C3 ⊆ Aut C756C7:3(C2xC12)168,19
C74(C2×C12) = C12×D7φ: C2×C12/C12C2 ⊆ Aut C7842C7:4(C2xC12)168,25
C75(C2×C12) = C6×Dic7φ: C2×C12/C2×C6C2 ⊆ Aut C7168C7:5(C2xC12)168,27


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