Extensions 1→N→G→Q→1 with N=C7 and Q=2+ 1+4

Direct product G=N×Q with N=C7 and Q=2+ 1+4
dρLabelID
C7×2+ 1+4564C7xES+(2,2)224,193

Semidirect products G=N:Q with N=C7 and Q=2+ 1+4
extensionφ:Q→Aut NdρLabelID
C712+ 1+4 = D46D14φ: 2+ 1+4/C2×D4C2 ⊆ Aut C7564C7:1ES+(2,2)224,180
C722+ 1+4 = D48D14φ: 2+ 1+4/C4○D4C2 ⊆ Aut C7564+C7:2ES+(2,2)224,185


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