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Extensions 1→N→G→Q→1 with N=C22 and Q=C7:Q16

Direct product G=NxQ with N=C22 and Q=C7:Q16
dρLabelID
C22xC7:Q16448C2^2xC7:Q16448,1262

Semidirect products G=N:Q with N=C22 and Q=C7:Q16
extensionφ:Q→Aut NdρLabelID
C22:1(C7:Q16) = C7:C8.29D4φ: C7:Q16/C7:C8 → C2 ⊆ Aut C22224C2^2:1(C7:Q16)448,585
C22:2(C7:Q16) = Dic14.37D4φ: C7:Q16/Dic14 → C2 ⊆ Aut C22224C2^2:2(C7:Q16)448,584
C22:3(C7:Q16) = (C2xC14):8Q16φ: C7:Q16/C7xQ8 → C2 ⊆ Aut C22224C2^2:3(C7:Q16)448,762

Non-split extensions G=N.Q with N=C22 and Q=C7:Q16
extensionφ:Q→Aut NdρLabelID
C22.1(C7:Q16) = C8.7Dic14φ: C7:Q16/C7:C8 → C2 ⊆ Aut C222244C2^2.1(C7:Q16)448,50
C22.2(C7:Q16) = C4:C4:Dic7φ: C7:Q16/Dic14 → C2 ⊆ Aut C22112C2^2.2(C7:Q16)448,95
C22.3(C7:Q16) = (C2xC14).Q16φ: C7:Q16/Dic14 → C2 ⊆ Aut C22224C2^2.3(C7:Q16)448,578
C22.4(C7:Q16) = C4:Dic7:C4φ: C7:Q16/C7xQ8 → C2 ⊆ Aut C22112C2^2.4(C7:Q16)448,9
C22.5(C7:Q16) = C4:C4.230D14φ: C7:Q16/C7xQ8 → C2 ⊆ Aut C22224C2^2.5(C7:Q16)448,504
C22.6(C7:Q16) = C28.C42central extension (φ=1)448C2^2.6(C7:Q16)448,86
C22.7(C7:Q16) = C2xC28.Q8central extension (φ=1)448C2^2.7(C7:Q16)448,496
C22.8(C7:Q16) = C2xC14.Q16central extension (φ=1)448C2^2.8(C7:Q16)448,503
C22.9(C7:Q16) = C2xQ8:Dic7central extension (φ=1)448C2^2.9(C7:Q16)448,758

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