Extensions 1→N→G→Q→1 with N=Dic12 and Q=C6

Direct product G=N×Q with N=Dic12 and Q=C6

Semidirect products G=N:Q with N=Dic12 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic121C6 = C3×C48⋊C2φ: C6/C3C2 ⊆ Out Dic12962Dic12:1C6288,234
Dic122C6 = C3×C8.D6φ: C6/C3C2 ⊆ Out Dic12484Dic12:2C6288,680
Dic123C6 = C3×D8.S3φ: C6/C3C2 ⊆ Out Dic12484Dic12:3C6288,261
Dic124C6 = C3×D83S3φ: C6/C3C2 ⊆ Out Dic12484Dic12:4C6288,683
Dic125C6 = C3×S3×Q16φ: C6/C3C2 ⊆ Out Dic12964Dic12:5C6288,688
Dic126C6 = C3×D4.D6φ: C6/C3C2 ⊆ Out Dic12484Dic12:6C6288,686
Dic127C6 = C3×C4○D24φ: trivial image482Dic12:7C6288,675

Non-split extensions G=N.Q with N=Dic12 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic12.1C6 = C3×Dic24φ: C6/C3C2 ⊆ Out Dic12962Dic12.1C6288,235
Dic12.2C6 = C3×C3⋊Q32φ: C6/C3C2 ⊆ Out Dic12964Dic12.2C6288,263