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

Direct product G=N×Q with N=C4.Dic5 and Q=C4
dρLabelID
C4×C4.Dic5160C4xC4.Dic5320,549

Semidirect products G=N:Q with N=C4.Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
C4.Dic51C4 = M4(2)⋊F5φ: C4/C1C4 ⊆ Out C4.Dic5408C4.Dic5:1C4320,237
C4.Dic52C4 = M4(2)⋊3F5φ: C4/C1C4 ⊆ Out C4.Dic5408C4.Dic5:2C4320,238
C4.Dic53C4 = M4(2)⋊4F5φ: C4/C1C4 ⊆ Out C4.Dic5808C4.Dic5:3C4320,240
C4.Dic54C4 = M4(2)×F5φ: C4/C1C4 ⊆ Out C4.Dic5408C4.Dic5:4C4320,1064
C4.Dic55C4 = M4(2)⋊1F5φ: C4/C1C4 ⊆ Out C4.Dic5408C4.Dic5:5C4320,1065
C4.Dic56C4 = M4(2)⋊5F5φ: C4/C1C4 ⊆ Out C4.Dic5808C4.Dic5:6C4320,1066
C4.Dic57C4 = C426Dic5φ: C4/C2C2 ⊆ Out C4.Dic580C4.Dic5:7C4320,81
C4.Dic58C4 = (C2×C20).Q8φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5:8C4320,88
C4.Dic59C4 = C20.32C42φ: C4/C2C2 ⊆ Out C4.Dic580C4.Dic5:9C4320,90
C4.Dic510C4 = C20.60(C4⋊C4)φ: C4/C2C2 ⊆ Out C4.Dic5804C4.Dic5:10C4320,91
C4.Dic511C4 = M4(2)⋊Dic5φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5:11C4320,112
C4.Dic512C4 = (C2×C40)⋊C4φ: C4/C2C2 ⊆ Out C4.Dic5804C4.Dic5:12C4320,114
C4.Dic513C4 = C20.47(C4⋊C4)φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5:13C4320,591
C4.Dic514C4 = C20.64(C4⋊C4)φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5:14C4320,622
C4.Dic515C4 = C20.35C42φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5:15C4320,624
C4.Dic516C4 = M4(2)×Dic5φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5:16C4320,744
C4.Dic517C4 = C20.42C42φ: trivial image160C4.Dic5:17C4320,728

Non-split extensions G=N.Q with N=C4.Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
C4.Dic5.1C4 = M4(2).F5φ: C4/C1C4 ⊆ Out C4.Dic5808C4.Dic5.1C4320,239
C4.Dic5.2C4 = D4.(C5⋊C8)φ: C4/C1C4 ⊆ Out C4.Dic51608C4.Dic5.2C4320,270
C4.Dic5.3C4 = M4(2).1F5φ: C4/C1C4 ⊆ Out C4.Dic5808C4.Dic5.3C4320,1067
C4.Dic5.4C4 = C5⋊C16.C22φ: C4/C1C4 ⊆ Out C4.Dic51608C4.Dic5.4C4320,1129
C4.Dic5.5C4 = D20.3C8φ: C4/C2C2 ⊆ Out C4.Dic51602C4.Dic5.5C4320,66
C4.Dic5.6C4 = C20.40C42φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5.6C4320,110
C4.Dic5.7C4 = D20.4C8φ: C4/C2C2 ⊆ Out C4.Dic51604C4.Dic5.7C4320,73
C4.Dic5.8C4 = C20.34C42φ: C4/C2C2 ⊆ Out C4.Dic5160C4.Dic5.8C4320,116
C4.Dic5.9C4 = D20.5C8φ: C4/C2C2 ⊆ Out C4.Dic51604C4.Dic5.9C4320,534
C4.Dic5.10C4 = C23.Dic10φ: C4/C2C2 ⊆ Out C4.Dic5804C4.Dic5.10C4320,751
C4.Dic5.11C4 = D20.6C8φ: trivial image1602C4.Dic5.11C4320,528

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