Extensions 1→N→G→Q→1 with N=C12 and Q=Dic5

Direct product G=N×Q with N=C12 and Q=Dic5

Semidirect products G=N:Q with N=C12 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C121Dic5 = C605C4φ: Dic5/C10C2 ⊆ Aut C12240C12:1Dic5240,74
C122Dic5 = C4×Dic15φ: Dic5/C10C2 ⊆ Aut C12240C12:2Dic5240,72
C123Dic5 = C3×C4⋊Dic5φ: Dic5/C10C2 ⊆ Aut C12240C12:3Dic5240,42

Non-split extensions G=N.Q with N=C12 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C12.1Dic5 = C60.7C4φ: Dic5/C10C2 ⊆ Aut C121202C12.1Dic5240,71
C12.2Dic5 = C153C16φ: Dic5/C10C2 ⊆ Aut C122402C12.2Dic5240,3
C12.3Dic5 = C2×C153C8φ: Dic5/C10C2 ⊆ Aut C12240C12.3Dic5240,70
C12.4Dic5 = C3×C4.Dic5φ: Dic5/C10C2 ⊆ Aut C121202C12.4Dic5240,39
C12.5Dic5 = C3×C52C16central extension (φ=1)2402C12.5Dic5240,2
C12.6Dic5 = C6×C52C8central extension (φ=1)240C12.6Dic5240,38