# Extensions 1→N→G→Q→1 with N=C44.C4 and Q=C2

Direct product G=N×Q with N=C44.C4 and Q=C2
dρLabelID
C2×C44.C4176C2xC44.C4352,116

Semidirect products G=N:Q with N=C44.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C44.C41C2 = D441C4φ: C2/C1C2 ⊆ Out C44.C4882C44.C4:1C2352,11
C44.C42C2 = C44.46D4φ: C2/C1C2 ⊆ Out C44.C4884+C44.C4:2C2352,29
C44.C43C2 = C44.D4φ: C2/C1C2 ⊆ Out C44.C4884C44.C4:3C2352,39
C44.C44C2 = C44.56D4φ: C2/C1C2 ⊆ Out C44.C4884C44.C4:4C2352,43
C44.C45C2 = M4(2)×D11φ: C2/C1C2 ⊆ Out C44.C4884C44.C4:5C2352,101
C44.C46C2 = D446C22φ: C2/C1C2 ⊆ Out C44.C4884C44.C4:6C2352,127
C44.C47C2 = C44.C23φ: C2/C1C2 ⊆ Out C44.C41764C44.C4:7C2352,137
C44.C48C2 = Q8.Dic11φ: C2/C1C2 ⊆ Out C44.C41764C44.C4:8C2352,143
C44.C49C2 = Q8⋊D22φ: C2/C1C2 ⊆ Out C44.C4884+C44.C4:9C2352,144
C44.C410C2 = D4.9D22φ: C2/C1C2 ⊆ Out C44.C41764-C44.C4:10C2352,146
C44.C411C2 = D44.2C4φ: trivial image1762C44.C4:11C2352,96

Non-split extensions G=N.Q with N=C44.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C44.C4.1C2 = C88.C4φ: C2/C1C2 ⊆ Out C44.C41762C44.C4.1C2352,25
C44.C4.2C2 = C44.53D4φ: C2/C1C2 ⊆ Out C44.C41764C44.C4.2C2352,28
C44.C4.3C2 = C44.47D4φ: C2/C1C2 ⊆ Out C44.C41764-C44.C4.3C2352,30
C44.C4.4C2 = C44.10D4φ: C2/C1C2 ⊆ Out C44.C41764C44.C4.4C2352,42

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