Extensions 1→N→G→Q→1 with N=D4:D5 and Q=C4

Direct product G=NxQ with N=D4:D5 and Q=C4
dρLabelID
C4xD4:D5160C4xD4:D5320,640

Semidirect products G=N:Q with N=D4:D5 and Q=C4
extensionφ:Q→Out NdρLabelID
D4:D5:1C4 = D8xF5φ: C4/C1C4 ⊆ Out D4:D5408+D4:D5:1C4320,1068
D4:D5:2C4 = D40:C4φ: C4/C1C4 ⊆ Out D4:D5408+D4:D5:2C4320,1069
D4:D5:3C4 = SD16:3F5φ: C4/C1C4 ⊆ Out D4:D5808D4:D5:3C4320,1074
D4:D5:4C4 = SD16:2F5φ: C4/C1C4 ⊆ Out D4:D5808D4:D5:4C4320,1075
D4:D5:5C4 = Dic5:4D8φ: C4/C2C2 ⊆ Out D4:D5160D4:D5:5C4320,383
D4:D5:6C4 = D4:D5:6C4φ: C4/C2C2 ⊆ Out D4:D5160D4:D5:6C4320,412
D4:D5:7C4 = M4(2).22D10φ: C4/C2C2 ⊆ Out D4:D5804D4:D5:7C4320,450
D4:D5:8C4 = C42.196D10φ: C4/C2C2 ⊆ Out D4:D5804D4:D5:8C4320,451
D4:D5:9C4 = C42.48D10φ: C4/C2C2 ⊆ Out D4:D5160D4:D5:9C4320,641
D4:D5:10C4 = C40.50D4φ: C4/C2C2 ⊆ Out D4:D5804D4:D5:10C4320,772
D4:D5:11C4 = C40.93D4φ: trivial image804D4:D5:11C4320,771


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