Extensions 1→N→G→Q→1 with N=C7 and Q=C3×C22⋊C4

Direct product G=N×Q with N=C7 and Q=C3×C22⋊C4
dρLabelID
C22⋊C4×C21168C2^2:C4xC21336,107

Semidirect products G=N:Q with N=C7 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C3×C22⋊C4) = D14⋊C12φ: C3×C22⋊C4/C2×C4 → C6 ⊆ Aut C756C7:1(C3xC2^2:C4)336,17
C7⋊2(C3×C22⋊C4) = C23.2F7φ: C3×C22⋊C4/C23 → C6 ⊆ Aut C756C7:2(C3xC2^2:C4)336,22
C7⋊3(C3×C22⋊C4) = C22⋊C4×C7⋊C3φ: C3×C22⋊C4/C22⋊C4 → C3 ⊆ Aut C756C7:3(C3xC2^2:C4)336,49
C7⋊4(C3×C22⋊C4) = C3×D14⋊C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C7168C7:4(C3xC2^2:C4)336,68
C7⋊5(C3×C22⋊C4) = C3×C23.D7φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C7168C7:5(C3xC2^2:C4)336,73


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