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

Direct product G=N×Q with N=C7 and Q=C3×C4⋊C4
dρLabelID
C4⋊C4×C21336C4:C4xC21336,108

Semidirect products G=N:Q with N=C7 and Q=C3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C3×C4⋊C4) = Dic7⋊C12φ: C3×C4⋊C4/C2×C4 → C6 ⊆ Aut C7112C7:1(C3xC4:C4)336,15
C7⋊2(C3×C4⋊C4) = C28⋊C12φ: C3×C4⋊C4/C2×C4 → C6 ⊆ Aut C7112C7:2(C3xC4:C4)336,16
C7⋊3(C3×C4⋊C4) = C4⋊C4×C7⋊C3φ: C3×C4⋊C4/C4⋊C4 → C3 ⊆ Aut C7112C7:3(C3xC4:C4)336,50
C7⋊4(C3×C4⋊C4) = C3×Dic7⋊C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C7336C7:4(C3xC4:C4)336,66
C7⋊5(C3×C4⋊C4) = C3×C4⋊Dic7φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C7336C7:5(C3xC4:C4)336,67


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