Extensions 1→N→G→Q→1 with N=C10 and Q=Dic12

Direct product G=N×Q with N=C10 and Q=Dic12

Semidirect products G=N:Q with N=C10 and Q=Dic12
extensionφ:Q→Aut NdρLabelID
C101Dic12 = C2×Dic60φ: Dic12/C24C2 ⊆ Aut C10480C10:1Dic12480,870
C102Dic12 = C2×C5⋊Dic12φ: Dic12/Dic6C2 ⊆ Aut C10480C10:2Dic12480,396

Non-split extensions G=N.Q with N=C10 and Q=Dic12
extensionφ:Q→Aut NdρLabelID
C10.1Dic12 = Dic308C4φ: Dic12/C24C2 ⊆ Aut C10480C10.1Dic12480,176
C10.2Dic12 = C1209C4φ: Dic12/C24C2 ⊆ Aut C10480C10.2Dic12480,178
C10.3Dic12 = C10.Dic12φ: Dic12/Dic6C2 ⊆ Aut C10480C10.3Dic12480,49
C10.4Dic12 = Dic3015C4φ: Dic12/Dic6C2 ⊆ Aut C10480C10.4Dic12480,51
C10.5Dic12 = C60.8Q8φ: Dic12/Dic6C2 ⊆ Aut C10480C10.5Dic12480,64
C10.6Dic12 = C5×C2.Dic12central extension (φ=1)480C10.6Dic12480,135
C10.7Dic12 = C5×C241C4central extension (φ=1)480C10.7Dic12480,137