Extensions 1→N→G→Q→1 with N=C44 and Q=Q8

Direct product G=NxQ with N=C44 and Q=Q8
dρLabelID
Q8xC44352Q8xC44352,154

Semidirect products G=N:Q with N=C44 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C44:Q8 = C44:Q8φ: Q8/C2C22 ⊆ Aut C44352C44:Q8352,83
C44:2Q8 = C44:2Q8φ: Q8/C4C2 ⊆ Aut C44352C44:2Q8352,64
C44:3Q8 = C4xDic22φ: Q8/C4C2 ⊆ Aut C44352C44:3Q8352,63
C44:4Q8 = C11xC4:Q8φ: Q8/C4C2 ⊆ Aut C44352C44:4Q8352,163

Non-split extensions G=N.Q with N=C44 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C44.1Q8 = C44.Q8φ: Q8/C2C22 ⊆ Aut C44352C44.1Q8352,13
C44.2Q8 = C4.Dic22φ: Q8/C2C22 ⊆ Aut C44352C44.2Q8352,14
C44.3Q8 = C44.3Q8φ: Q8/C2C22 ⊆ Aut C44352C44.3Q8352,85
C44.4Q8 = C44.4Q8φ: Q8/C4C2 ⊆ Aut C44352C44.4Q8352,23
C44.5Q8 = C44.5Q8φ: Q8/C4C2 ⊆ Aut C44352C44.5Q8352,24
C44.6Q8 = C44.6Q8φ: Q8/C4C2 ⊆ Aut C44352C44.6Q8352,65
C44.7Q8 = C44:C8φ: Q8/C4C2 ⊆ Aut C44352C44.7Q8352,10
C44.8Q8 = Dic11:C8φ: Q8/C4C2 ⊆ Aut C44352C44.8Q8352,20
C44.9Q8 = C11xC4.Q8φ: Q8/C4C2 ⊆ Aut C44352C44.9Q8352,55
C44.10Q8 = C11xC2.D8φ: Q8/C4C2 ⊆ Aut C44352C44.10Q8352,56
C44.11Q8 = C11xC42.C2φ: Q8/C4C2 ⊆ Aut C44352C44.11Q8352,160
C44.12Q8 = C11xC4:C8central extension (φ=1)352C44.12Q8352,54

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