Extensions 1→N→G→Q→1 with N=C22 and Q=Dic20

Direct product G=N×Q with N=C22 and Q=Dic20

Semidirect products G=N:Q with N=C22 and Q=Dic20
extensionφ:Q→Aut NdρLabelID
C221Dic20 = C40.82D4φ: Dic20/C40C2 ⊆ Aut C22160C2^2:1Dic20320,743
C222Dic20 = C22⋊Dic20φ: Dic20/Dic10C2 ⊆ Aut C22160C2^2:2Dic20320,366

Non-split extensions G=N.Q with N=C22 and Q=Dic20
extensionφ:Q→Aut NdρLabelID
C22.1Dic20 = C80.6C4φ: Dic20/C40C2 ⊆ Aut C221602C2^2.1Dic20320,64
C22.2Dic20 = C23.30D20φ: Dic20/Dic10C2 ⊆ Aut C2280C2^2.2Dic20320,25
C22.3Dic20 = C23.35D20φ: Dic20/Dic10C2 ⊆ Aut C22160C2^2.3Dic20320,349
C22.4Dic20 = C20.39C42central extension (φ=1)320C2^2.4Dic20320,109
C22.5Dic20 = C2×C20.44D4central extension (φ=1)320C2^2.5Dic20320,730
C22.6Dic20 = C2×C405C4central extension (φ=1)320C2^2.6Dic20320,732