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Extensions 1→N→G→Q→1 with N=C7 and Q=(C22xC8):C2

Direct product G=NxQ with N=C7 and Q=(C22xC8):C2
dρLabelID
C7x(C22xC8):C2224C7x(C2^2xC8):C2448,816

Semidirect products G=N:Q with N=C7 and Q=(C22xC8):C2
extensionφ:Q→Aut NdρLabelID
C7:1((C22xC8):C2) = D14:C8:C2φ: (C22xC8):C2/C22:C8 → C2 ⊆ Aut C7224C7:1((C2^2xC8):C2)448,261
C7:2((C22xC8):C2) = (C22xC8):D7φ: (C22xC8):C2/C22xC8 → C2 ⊆ Aut C7224C7:2((C2^2xC8):C2)448,644
C7:3((C22xC8):C2) = (C2xD28).14C4φ: (C22xC8):C2/C2xM4(2) → C2 ⊆ Aut C7224C7:3((C2^2xC8):C2)448,663
C7:4((C22xC8):C2) = (D4xC14).11C4φ: (C22xC8):C2/C2xC4oD4 → C2 ⊆ Aut C7224C7:4((C2^2xC8):C2)448,768


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