Extensions 1→N→G→Q→1 with N=Dic7 and Q=C12

Direct product G=N×Q with N=Dic7 and Q=C12
dρLabelID
C12×Dic7336C12xDic7336,65

Semidirect products G=N:Q with N=Dic7 and Q=C12
extensionφ:Q→Out NdρLabelID
Dic7⋊C12 = Dic7⋊C12φ: C12/C2C6 ⊆ Out Dic7112Dic7:C12336,15
Dic72C12 = C4×C7⋊C12φ: C12/C4C3 ⊆ Out Dic7112Dic7:2C12336,14
Dic73C12 = C3×Dic7⋊C4φ: C12/C6C2 ⊆ Out Dic7336Dic7:3C12336,66

Non-split extensions G=N.Q with N=Dic7 and Q=C12
extensionφ:Q→Out NdρLabelID
Dic7.C12 = C8⋊F7φ: C12/C2C6 ⊆ Out Dic7566Dic7.C12336,8
Dic7.2C12 = C8×F7φ: C12/C4C3 ⊆ Out Dic7566Dic7.2C12336,7
Dic7.3C12 = C3×C8⋊D7φ: C12/C6C2 ⊆ Out Dic71682Dic7.3C12336,59
Dic7.4C12 = D7×C24φ: trivial image1682Dic7.4C12336,58

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