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

Direct product G=NxQ with N=C22 and Q=C8
dρLabelID
C22xC832C2^2xC832,36

Semidirect products G=N:Q with N=C22 and Q=C8
extensionφ:Q→Aut NdρLabelID
C22:C8 = C22:C8φ: C8/C4C2 ⊆ Aut C2216C2^2:C832,5

Non-split extensions G=N.Q with N=C22 and Q=C8
extensionφ:Q→Aut NdρLabelID
C22.C8 = M5(2)φ: C8/C4C2 ⊆ Aut C22162C2^2.C832,17

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