Extensions 1→N→G→Q→1 with N=C4 and Q=Dic30

Direct product G=N×Q with N=C4 and Q=Dic30

Semidirect products G=N:Q with N=C4 and Q=Dic30
extensionφ:Q→Aut NdρLabelID
C41Dic30 = C4⋊Dic30φ: Dic30/Dic15C2 ⊆ Aut C4480C4:1Dic30480,853
C42Dic30 = C608Q8φ: Dic30/C60C2 ⊆ Aut C4480C4:2Dic30480,834

Non-split extensions G=N.Q with N=C4 and Q=Dic30
extensionφ:Q→Aut NdρLabelID
C4.1Dic30 = C60.1Q8φ: Dic30/Dic15C2 ⊆ Aut C4480C4.1Dic30480,167
C4.2Dic30 = C60.2Q8φ: Dic30/Dic15C2 ⊆ Aut C4480C4.2Dic30480,168
C4.3Dic30 = C4.Dic30φ: Dic30/Dic15C2 ⊆ Aut C4480C4.3Dic30480,855
C4.4Dic30 = C12010C4φ: Dic30/C60C2 ⊆ Aut C4480C4.4Dic30480,177
C4.5Dic30 = C1209C4φ: Dic30/C60C2 ⊆ Aut C4480C4.5Dic30480,178
C4.6Dic30 = C60.24Q8φ: Dic30/C60C2 ⊆ Aut C4480C4.6Dic30480,835
C4.7Dic30 = C605C8central extension (φ=1)480C4.7Dic30480,164
C4.8Dic30 = C60.26Q8central extension (φ=1)480C4.8Dic30480,174