Extensions 1→N→G→Q→1 with N=C7 and Q=C22×C12

Direct product G=N×Q with N=C7 and Q=C22×C12
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C7 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C71(C22×C12) = C2×C4×F7φ: C22×C12/C2×C4C6 ⊆ Aut C756C7:1(C2^2xC12)336,122
C72(C22×C12) = C22×C7⋊C12φ: C22×C12/C23C6 ⊆ Aut C7112C7:2(C2^2xC12)336,129
C73(C22×C12) = C22×C4×C7⋊C3φ: C22×C12/C22×C4C3 ⊆ Aut C7112C7:3(C2^2xC12)336,164
C74(C22×C12) = D7×C2×C12φ: C22×C12/C2×C12C2 ⊆ Aut C7168C7:4(C2^2xC12)336,175
C75(C22×C12) = C2×C6×Dic7φ: C22×C12/C22×C6C2 ⊆ Aut C7336C7:5(C2^2xC12)336,182


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