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

Direct product G=N×Q with N=D4.D5 and Q=C4
dρLabelID
C4×D4.D5160C4xD4.D5320,644

Semidirect products G=N:Q with N=D4.D5 and Q=C4
extensionφ:Q→Out NdρLabelID
D4.D51C4 = D85F5φ: C4/C1C4 ⊆ Out D4.D5808-D4.D5:1C4320,1070
D4.D52C4 = D8⋊F5φ: C4/C1C4 ⊆ Out D4.D5808-D4.D5:2C4320,1071
D4.D53C4 = SD16×F5φ: C4/C1C4 ⊆ Out D4.D5408D4.D5:3C4320,1072
D4.D54C4 = SD16⋊F5φ: C4/C1C4 ⊆ Out D4.D5408D4.D5:4C4320,1073
D4.D55C4 = D4.D55C4φ: C4/C2C2 ⊆ Out D4.D5160D4.D5:5C4320,384
D4.D56C4 = Dic56SD16φ: C4/C2C2 ⊆ Out D4.D5160D4.D5:6C4320,385
D4.D57C4 = M4(2).22D10φ: C4/C2C2 ⊆ Out D4.D5804D4.D5:7C4320,450
D4.D58C4 = C42.196D10φ: C4/C2C2 ⊆ Out D4.D5804D4.D5:8C4320,451
D4.D59C4 = C42.51D10φ: C4/C2C2 ⊆ Out D4.D5160D4.D5:9C4320,645
D4.D510C4 = C40.50D4φ: C4/C2C2 ⊆ Out D4.D5804D4.D5:10C4320,772
D4.D511C4 = C40.93D4φ: trivial image804D4.D5:11C4320,771


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