Extensions 1→N→G→Q→1 with N=C4⋊C4 and Q=Dic5

Direct product G=N×Q with N=C4⋊C4 and Q=Dic5
dρLabelID
C4⋊C4×Dic5320C4:C4xDic5320,602

Semidirect products G=N:Q with N=C4⋊C4 and Q=Dic5
extensionφ:Q→Out NdρLabelID
C4⋊C41Dic5 = C4⋊C4⋊Dic5φ: Dic5/C5C4 ⊆ Out C4⋊C480C4:C4:1Dic5320,95
C4⋊C42Dic5 = C10.29C4≀C2φ: Dic5/C5C4 ⊆ Out C4⋊C480C4:C4:2Dic5320,96
C4⋊C43Dic5 = C20.31C42φ: Dic5/C10C2 ⊆ Out C4⋊C4320C4:C4:3Dic5320,87
C4⋊C44Dic5 = C20.32C42φ: Dic5/C10C2 ⊆ Out C4⋊C480C4:C4:4Dic5320,90
C4⋊C45Dic5 = C4⋊C45Dic5φ: Dic5/C10C2 ⊆ Out C4⋊C4320C4:C4:5Dic5320,608
C4⋊C46Dic5 = C206(C4⋊C4)φ: Dic5/C10C2 ⊆ Out C4⋊C4320C4:C4:6Dic5320,612

Non-split extensions G=N.Q with N=C4⋊C4 and Q=Dic5
extensionφ:Q→Out NdρLabelID
C4⋊C4.1Dic5 = C42.8D10φ: Dic5/C5C4 ⊆ Out C4⋊C4320C4:C4.1Dic5320,101
C4⋊C4.2Dic5 = C20.10D8φ: Dic5/C5C4 ⊆ Out C4⋊C4320C4:C4.2Dic5320,105
C4⋊C4.3Dic5 = C20.57D8φ: Dic5/C10C2 ⊆ Out C4⋊C4160C4:C4.3Dic5320,92
C4⋊C4.4Dic5 = C20.26Q16φ: Dic5/C10C2 ⊆ Out C4⋊C4320C4:C4.4Dic5320,93
C4⋊C4.5Dic5 = C42.43D10φ: Dic5/C10C2 ⊆ Out C4⋊C4160C4:C4.5Dic5320,626
C4⋊C4.6Dic5 = C42.187D10φ: Dic5/C10C2 ⊆ Out C4⋊C4160C4:C4.6Dic5320,627
C4⋊C4.7Dic5 = C42.47D10φ: Dic5/C10C2 ⊆ Out C4⋊C4160C4:C4.7Dic5320,638
C4⋊C4.8Dic5 = C207M4(2)φ: Dic5/C10C2 ⊆ Out C4⋊C4160C4:C4.8Dic5320,639
C4⋊C4.9Dic5 = C42.210D10φ: Dic5/C10C2 ⊆ Out C4⋊C4320C4:C4.9Dic5320,651
C4⋊C4.10Dic5 = C20.35C42φ: trivial image160C4:C4.10Dic5320,624
C4⋊C4.11Dic5 = D4×C52C8φ: trivial image160C4:C4.11Dic5320,637
C4⋊C4.12Dic5 = Q8×C52C8φ: trivial image320C4:C4.12Dic5320,650

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