Extensions 1→N→G→Q→1 with N=C8 and Q=C44

Direct product G=N×Q with N=C8 and Q=C44
dρLabelID
C4×C88352C4xC88352,45

Semidirect products G=N:Q with N=C8 and Q=C44
extensionφ:Q→Aut NdρLabelID
C81C44 = C11×C2.D8φ: C44/C22C2 ⊆ Aut C8352C8:1C44352,56
C82C44 = C11×C4.Q8φ: C44/C22C2 ⊆ Aut C8352C8:2C44352,55
C83C44 = C11×C8⋊C4φ: C44/C22C2 ⊆ Aut C8352C8:3C44352,46

Non-split extensions G=N.Q with N=C8 and Q=C44
extensionφ:Q→Aut NdρLabelID
C8.1C44 = C11×C8.C4φ: C44/C22C2 ⊆ Aut C81762C8.1C44352,57
C8.2C44 = C11×M5(2)φ: C44/C22C2 ⊆ Aut C81762C8.2C44352,59

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