Extensions 1→N→G→Q→1 with N=C22 and Q=Dic30

Direct product G=N×Q with N=C22 and Q=Dic30

Semidirect products G=N:Q with N=C22 and Q=Dic30
extensionφ:Q→Aut NdρLabelID
C22⋊Dic30 = C20.1S4φ: Dic30/C20S3 ⊆ Aut C221206-C2^2:Dic30480,1024
C222Dic30 = C222Dic30φ: Dic30/Dic15C2 ⊆ Aut C22240C2^2:2Dic30480,843
C223Dic30 = C60.205D4φ: Dic30/C60C2 ⊆ Aut C22240C2^2:3Dic30480,889

Non-split extensions G=N.Q with N=C22 and Q=Dic30
extensionφ:Q→Aut NdρLabelID
C22.1Dic30 = C60.210D4φ: Dic30/Dic15C2 ⊆ Aut C222404C2^2.1Dic30480,182
C22.2Dic30 = C4.18D60φ: Dic30/C60C2 ⊆ Aut C222402C2^2.2Dic30480,179
C22.3Dic30 = C30.29C42central extension (φ=1)480C2^2.3Dic30480,191
C22.4Dic30 = C2×C30.4Q8central extension (φ=1)480C2^2.4Dic30480,888
C22.5Dic30 = C2×C605C4central extension (φ=1)480C2^2.5Dic30480,890