Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C4≀C2

Direct product G=N×Q with N=C7 and Q=C2×C4≀C2
dρLabelID
C14×C4≀C2112C14xC4wrC2448,828

Semidirect products G=N:Q with N=C7 and Q=C2×C4≀C2
extensionφ:Q→Aut NdρLabelID
C71(C2×C4≀C2) = D7×C4≀C2φ: C2×C4≀C2/C4≀C2C2 ⊆ Aut C7564C7:1(C2xC4wrC2)448,354
C72(C2×C4≀C2) = C2×Dic14⋊C4φ: C2×C4≀C2/C2×C42C2 ⊆ Aut C7112C7:2(C2xC4wrC2)448,461
C73(C2×C4≀C2) = C2×D284C4φ: C2×C4≀C2/C2×M4(2)C2 ⊆ Aut C7112C7:3(C2xC4wrC2)448,672
C74(C2×C4≀C2) = C2×D42Dic7φ: C2×C4≀C2/C2×C4○D4C2 ⊆ Aut C7112C7:4(C2xC4wrC2)448,769


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