Extensions 1→N→G→Q→1 with N=C22 and Q=C7xQ8

Direct product G=NxQ with N=C22 and Q=C7xQ8
dρLabelID
Q8xC2xC14224Q8xC2xC14224,191

Semidirect products G=N:Q with N=C22 and Q=C7xQ8
extensionφ:Q→Aut NdρLabelID
C22:(C7xQ8) = C7xC22:Q8φ: C7xQ8/C28C2 ⊆ Aut C22112C2^2:(C7xQ8)224,157

Non-split extensions G=N.Q with N=C22 and Q=C7xQ8
extensionφ:Q→Aut NdρLabelID
C22.(C7xQ8) = C7xC8.C4φ: C7xQ8/C28C2 ⊆ Aut C221122C2^2.(C7xQ8)224,57
C22.2(C7xQ8) = C7xC2.C42central extension (φ=1)224C2^2.2(C7xQ8)224,44
C22.3(C7xQ8) = C14xC4:C4central extension (φ=1)224C2^2.3(C7xQ8)224,151

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