Extensions 1→N→G→Q→1 with N=C7 and Q=C22×D4

Direct product G=N×Q with N=C7 and Q=C22×D4
dρLabelID
D4×C2×C14112D4xC2xC14224,190

Semidirect products G=N:Q with N=C7 and Q=C22×D4
extensionφ:Q→Aut NdρLabelID
C71(C22×D4) = C22×D28φ: C22×D4/C22×C4C2 ⊆ Aut C7112C7:1(C2^2xD4)224,176
C72(C22×D4) = C2×D4×D7φ: C22×D4/C2×D4C2 ⊆ Aut C756C7:2(C2^2xD4)224,178
C73(C22×D4) = C22×C7⋊D4φ: C22×D4/C24C2 ⊆ Aut C7112C7:3(C2^2xD4)224,188


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