Extensions 1→N→G→Q→1 with N=C8 and Q=C22

Direct product G=N×Q with N=C8 and Q=C22
dρLabelID
C2×C88176C2xC88176,22

Semidirect products G=N:Q with N=C8 and Q=C22
extensionφ:Q→Aut NdρLabelID
C81C22 = C11×D8φ: C22/C11C2 ⊆ Aut C8882C8:1C22176,24
C82C22 = C11×SD16φ: C22/C11C2 ⊆ Aut C8882C8:2C22176,25
C83C22 = C11×M4(2)φ: C22/C11C2 ⊆ Aut C8882C8:3C22176,23

Non-split extensions G=N.Q with N=C8 and Q=C22
extensionφ:Q→Aut NdρLabelID
C8.C22 = C11×Q16φ: C22/C11C2 ⊆ Aut C81762C8.C22176,26

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