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Extensions 1→N→G→Q→1 with N=C4⋊Dic3 and Q=C4

Direct product G=N×Q with N=C4⋊Dic3 and Q=C4
dρLabelID
C4×C4⋊Dic3192C4xC4:Dic3192,493

Semidirect products G=N:Q with N=C4⋊Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊Dic3⋊1C4 = C6.C4≀C2φ: C4/C1 → C4 ⊆ Out C4⋊Dic348C4:Dic3:1C4192,10
C4⋊Dic3⋊2C4 = C4⋊Dic3⋊C4φ: C4/C1 → C4 ⊆ Out C4⋊Dic348C4:Dic3:2C4192,11
C4⋊Dic3⋊3C4 = C23.35D12φ: C4/C1 → C4 ⊆ Out C4⋊Dic348C4:Dic3:3C4192,26
C4⋊Dic3⋊4C4 = C22.2D24φ: C4/C1 → C4 ⊆ Out C4⋊Dic348C4:Dic3:4C4192,29
C4⋊Dic3⋊5C4 = C12.8C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic348C4:Dic3:5C4192,82
C4⋊Dic3⋊6C4 = C12.9C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3:6C4192,110
C4⋊Dic3⋊7C4 = C2.(C4×D12)φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3:7C4192,212
C4⋊Dic3⋊8C4 = C2.(C4×Dic6)φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3:8C4192,213
C4⋊Dic3⋊9C4 = C12⋊4(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3:9C4192,487
C4⋊Dic3⋊10C4 = C12.C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3:10C4192,88
C4⋊Dic3⋊11C4 = C12.3C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic348C4:Dic3:11C4192,114
C4⋊Dic3⋊12C4 = C12⋊(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3:12C4192,531
C4⋊Dic3⋊13C4 = Dic3×C4⋊C4φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3:13C4192,533

Non-split extensions G=N.Q with N=C4⋊Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊Dic3.1C4 = C42.2D6φ: C4/C1 → C4 ⊆ Out C4⋊Dic3192C4:Dic3.1C4192,24
C4⋊Dic3.2C4 = C12.47D8φ: C4/C1 → C4 ⊆ Out C4⋊Dic3192C4:Dic3.2C4192,41
C4⋊Dic3.3C4 = C12.2D8φ: C4/C1 → C4 ⊆ Out C4⋊Dic3192C4:Dic3.3C4192,45
C4⋊Dic3.4C4 = C4.8Dic12φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3.4C4192,15
C4⋊Dic3.5C4 = C4.17D24φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.5C4192,18
C4⋊Dic3.6C4 = C24⋊12Q8φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3.6C4192,238
C4⋊Dic3.7C4 = C8⋊6D12φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.7C4192,247
C4⋊Dic3.8C4 = C24⋊Q8φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3.8C4192,260
C4⋊Dic3.9C4 = C8⋊9D12φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.9C4192,265
C4⋊Dic3.10C4 = C24⋊C4⋊C2φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.10C4192,279
C4⋊Dic3.11C4 = C42.27D6φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3.11C4192,387
C4⋊Dic3.12C4 = D6⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.12C4192,395
C4⋊Dic3.13C4 = Dic3⋊C8⋊C2φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.13C4192,661
C4⋊Dic3.14C4 = D12⋊2C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.14C4192,42
C4⋊Dic3.15C4 = Dic6⋊2C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3.15C4192,43
C4⋊Dic3.16C4 = Dic6⋊C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3.16C4192,389
C4⋊Dic3.17C4 = C42.198D6φ: C4/C2 → C2 ⊆ Out C4⋊Dic3192C4:Dic3.17C4192,390
C4⋊Dic3.18C4 = D12⋊C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.18C4192,393
C4⋊Dic3.19C4 = C12⋊2M4(2)φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.19C4192,397
C4⋊Dic3.20C4 = C12.88(C2×Q8)φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.20C4192,678
C4⋊Dic3.21C4 = C12.7C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic396C4:Dic3.21C4192,681
C4⋊Dic3.22C4 = C8×Dic6φ: trivial image192C4:Dic3.22C4192,237
C4⋊Dic3.23C4 = C8×D12φ: trivial image96C4:Dic3.23C4192,245
C4⋊Dic3.24C4 = C12.12C42φ: trivial image96C4:Dic3.24C4192,660

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