Extensions 1→N→G→Q→1 with N=C22 and Q=C2xQ8

Direct product G=NxQ with N=C22 and Q=C2xQ8
dρLabelID
Q8xC2xC22352Q8xC2xC22352,190

Semidirect products G=N:Q with N=C22 and Q=C2xQ8
extensionφ:Q→Aut NdρLabelID
C22:1(C2xQ8) = C22xDic22φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22:1(C2xQ8)352,173
C22:2(C2xQ8) = C2xQ8xD11φ: C2xQ8/Q8C2 ⊆ Aut C22176C22:2(C2xQ8)352,180

Non-split extensions G=N.Q with N=C22 and Q=C2xQ8
extensionφ:Q→Aut NdρLabelID
C22.1(C2xQ8) = C4xDic22φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22.1(C2xQ8)352,63
C22.2(C2xQ8) = C44:2Q8φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22.2(C2xQ8)352,64
C22.3(C2xQ8) = C44.6Q8φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22.3(C2xQ8)352,65
C22.4(C2xQ8) = C22:Dic22φ: C2xQ8/C2xC4C2 ⊆ Aut C22176C22.4(C2xQ8)352,73
C22.5(C2xQ8) = C44:Q8φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22.5(C2xQ8)352,83
C22.6(C2xQ8) = C44.3Q8φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22.6(C2xQ8)352,85
C22.7(C2xQ8) = C2xDic11:C4φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22.7(C2xQ8)352,118
C22.8(C2xQ8) = C44.48D4φ: C2xQ8/C2xC4C2 ⊆ Aut C22176C22.8(C2xQ8)352,119
C22.9(C2xQ8) = C2xC44:C4φ: C2xQ8/C2xC4C2 ⊆ Aut C22352C22.9(C2xQ8)352,120
C22.10(C2xQ8) = Dic22:C4φ: C2xQ8/Q8C2 ⊆ Aut C22352C22.10(C2xQ8)352,82
C22.11(C2xQ8) = Dic11.Q8φ: C2xQ8/Q8C2 ⊆ Aut C22352C22.11(C2xQ8)352,84
C22.12(C2xQ8) = C4:C4xD11φ: C2xQ8/Q8C2 ⊆ Aut C22176C22.12(C2xQ8)352,86
C22.13(C2xQ8) = D22:Q8φ: C2xQ8/Q8C2 ⊆ Aut C22176C22.13(C2xQ8)352,91
C22.14(C2xQ8) = D22:2Q8φ: C2xQ8/Q8C2 ⊆ Aut C22176C22.14(C2xQ8)352,92
C22.15(C2xQ8) = Dic11:Q8φ: C2xQ8/Q8C2 ⊆ Aut C22352C22.15(C2xQ8)352,139
C22.16(C2xQ8) = Q8xDic11φ: C2xQ8/Q8C2 ⊆ Aut C22352C22.16(C2xQ8)352,140
C22.17(C2xQ8) = D22:3Q8φ: C2xQ8/Q8C2 ⊆ Aut C22176C22.17(C2xQ8)352,141
C22.18(C2xQ8) = C4:C4xC22central extension (φ=1)352C22.18(C2xQ8)352,151
C22.19(C2xQ8) = Q8xC44central extension (φ=1)352C22.19(C2xQ8)352,154
C22.20(C2xQ8) = C11xC22:Q8central extension (φ=1)176C22.20(C2xQ8)352,157
C22.21(C2xQ8) = C11xC42.C2central extension (φ=1)352C22.21(C2xQ8)352,160
C22.22(C2xQ8) = C11xC4:Q8central extension (φ=1)352C22.22(C2xQ8)352,163

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