Extensions 1→N→G→Q→1 with N=C7 and Q=C2×D4

Direct product G=N×Q with N=C7 and Q=C2×D4
dρLabelID
D4×C1456D4xC14112,38

Semidirect products G=N:Q with N=C7 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C2×D4) = C2×D28φ: C2×D4/C2×C4 → C2 ⊆ Aut C756C7:1(C2xD4)112,29
C7⋊2(C2×D4) = D4×D7φ: C2×D4/D4 → C2 ⊆ Aut C7284+C7:2(C2xD4)112,31
C7⋊3(C2×D4) = C2×C7⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C756C7:3(C2xD4)112,36


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