Extensions 1→N→G→Q→1 with N=C7 and Q=C42⋊C2

Direct product G=N×Q with N=C7 and Q=C42⋊C2
dρLabelID
C7×C42⋊C2112C7xC4^2:C2224,152

Semidirect products G=N:Q with N=C7 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C7⋊1(C42⋊C2) = C42⋊D7φ: C42⋊C2/C42 → C2 ⊆ Aut C7112C7:1(C4^2:C2)224,67
C7⋊2(C42⋊C2) = C23.11D14φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C7112C7:2(C4^2:C2)224,72
C7⋊3(C42⋊C2) = C4⋊C4⋊7D7φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C7112C7:3(C4^2:C2)224,87
C7⋊4(C42⋊C2) = C23.21D14φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C7112C7:4(C4^2:C2)224,121


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