Extensions 1→N→G→Q→1 with N=C7 and Q=C2×A4

Direct product G=N×Q with N=C7 and Q=C2×A4
dρLabelID
A4×C14423A4xC14168,52

Semidirect products G=N:Q with N=C7 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
C7⋊(C2×A4) = D7⋊A4φ: C2×A4/C22 → C6 ⊆ Aut C7286+C7:(C2xA4)168,49
C7⋊2(C2×A4) = C2×C7⋊A4φ: C2×A4/C23 → C3 ⊆ Aut C7423C7:2(C2xA4)168,53
C7⋊3(C2×A4) = A4×D7φ: C2×A4/A4 → C2 ⊆ Aut C7286+C7:3(C2xA4)168,48


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