Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C22≀C2

Direct product G=N×Q with N=C7 and Q=C2×C22≀C2
dρLabelID
C14×C22≀C2112C14xC2^2wrC2448,1304

Semidirect products G=N:Q with N=C7 and Q=C2×C22≀C2
extensionφ:Q→Aut NdρLabelID
C71(C2×C22≀C2) = C2×C22⋊D28φ: C2×C22≀C2/C2×C22⋊C4C2 ⊆ Aut C7112C7:1(C2xC2^2wrC2)448,940
C72(C2×C22≀C2) = D7×C22≀C2φ: C2×C22≀C2/C22≀C2C2 ⊆ Aut C756C7:2(C2xC2^2wrC2)448,1041
C73(C2×C22≀C2) = C2×C23⋊D14φ: C2×C22≀C2/C22×D4C2 ⊆ Aut C7112C7:3(C2xC2^2wrC2)448,1252
C74(C2×C22≀C2) = C2×C24⋊D7φ: C2×C22≀C2/C25C2 ⊆ Aut C7112C7:4(C2xC2^2wrC2)448,1293


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