Extensions 1→N→G→Q→1 with N=C7 and Q=C2xD4:C4

Direct product G=NxQ with N=C7 and Q=C2xD4:C4
dρLabelID
C14xD4:C4224C14xD4:C4448,822

Semidirect products G=N:Q with N=C7 and Q=C2xD4:C4
extensionφ:Q→Aut NdρLabelID
C7:1(C2xD4:C4) = D7xD4:C4φ: C2xD4:C4/D4:C4C2 ⊆ Aut C7112C7:1(C2xD4:C4)448,303
C7:2(C2xD4:C4) = C2xC14.D8φ: C2xD4:C4/C2xC4:C4C2 ⊆ Aut C7224C7:2(C2xD4:C4)448,499
C7:3(C2xD4:C4) = C2xC2.D56φ: C2xD4:C4/C22xC8C2 ⊆ Aut C7224C7:3(C2xD4:C4)448,646
C7:4(C2xD4:C4) = C2xD4:Dic7φ: C2xD4:C4/C22xD4C2 ⊆ Aut C7224C7:4(C2xD4:C4)448,748


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