Extensions 1→N→G→Q→1 with N=Dic22 and Q=C4

Direct product G=N×Q with N=Dic22 and Q=C4
dρLabelID
C4×Dic22352C4xDic22352,63

Semidirect products G=N:Q with N=Dic22 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic221C4 = D441C4φ: C4/C2C2 ⊆ Out Dic22882Dic22:1C4352,11
Dic222C4 = C44.44D4φ: C4/C2C2 ⊆ Out Dic22352Dic22:2C4352,22
Dic223C4 = C22.Q16φ: C4/C2C2 ⊆ Out Dic22352Dic22:3C4352,16
Dic224C4 = D444C4φ: C4/C2C2 ⊆ Out Dic22884Dic22:4C4352,31
Dic225C4 = Dic22⋊C4φ: C4/C2C2 ⊆ Out Dic22352Dic22:5C4352,82

Non-split extensions G=N.Q with N=Dic22 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic22.C4 = D44.C4φ: C4/C2C2 ⊆ Out Dic221764Dic22.C4352,102
Dic22.2C4 = D44.2C4φ: trivial image1762Dic22.2C4352,96

׿
×
𝔽