Extensions 1→N→G→Q→1 with N=C7 and Q=D4⋊C4

Direct product G=N×Q with N=C7 and Q=D4⋊C4
dρLabelID
C7×D4⋊C4112C7xD4:C4224,51

Semidirect products G=N:Q with N=C7 and Q=D4⋊C4
extensionφ:Q→Aut NdρLabelID
C71(D4⋊C4) = C14.D8φ: D4⋊C4/C4⋊C4C2 ⊆ Aut C7112C7:1(D4:C4)224,15
C72(D4⋊C4) = C2.D56φ: D4⋊C4/C2×C8C2 ⊆ Aut C7112C7:2(D4:C4)224,27
C73(D4⋊C4) = D4⋊Dic7φ: D4⋊C4/C2×D4C2 ⊆ Aut C7112C7:3(D4:C4)224,38


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