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Extensions 1→N→G→Q→1 with N=C12⋊Dic3 and Q=C2

Direct product G=N×Q with N=C12⋊Dic3 and Q=C2
dρLabelID
C2×C12⋊Dic3288C2xC12:Dic3288,782

Semidirect products G=N:Q with N=C12⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊Dic3⋊1C2 = C62.84D4φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:1C2288,296
C12⋊Dic3⋊2C2 = C62.31C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:2C2288,509
C12⋊Dic3⋊3C2 = D6.9D12φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:3C2288,539
C12⋊Dic3⋊4C2 = D6⋊2Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:4C2288,541
C12⋊Dic3⋊5C2 = C62⋊6Q8φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:5C2288,735
C12⋊Dic3⋊6C2 = C62.223C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:6C2288,736
C12⋊Dic3⋊7C2 = C62.227C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:7C2288,740
C12⋊Dic3⋊8C2 = C62.69D4φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:8C2288,743
C12⋊Dic3⋊9C2 = C12.31D12φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:9C2288,754
C12⋊Dic3⋊10C2 = C62.242C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:10C2288,755
C12⋊Dic3⋊11C2 = C62⋊10Q8φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:11C2288,781
C12⋊Dic3⋊12C2 = C62⋊19D4φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:12C2288,787
C12⋊Dic3⋊13C2 = C6.16D24φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:13C2288,211
C12⋊Dic3⋊14C2 = C62.116D4φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:14C2288,307
C12⋊Dic3⋊15C2 = C62.11C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:15C2288,489
C12⋊Dic3⋊16C2 = D6⋊6Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:16C2288,504
C12⋊Dic3⋊17C2 = S3×C4⋊Dic3φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:17C2288,537
C12⋊Dic3⋊18C2 = Dic3×D12φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:18C2288,540
C12⋊Dic3⋊19C2 = D6⋊2D12φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3:19C2288,556
C12⋊Dic3⋊20C2 = C4⋊C4×C3⋊S3φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:20C2288,748
C12⋊Dic3⋊21C2 = C62.236C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:21C2288,749
C12⋊Dic3⋊22C2 = D4×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:22C2288,791
C12⋊Dic3⋊23C2 = C62.256C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:23C2288,795
C12⋊Dic3⋊24C2 = C62.261C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3144C12:Dic3:24C2288,803
C12⋊Dic3⋊25C2 = C4×C12⋊S3φ: trivial image144C12:Dic3:25C2288,730
C12⋊Dic3⋊26C2 = C62.247C23φ: trivial image144C12:Dic3:26C2288,783

Non-split extensions G=N.Q with N=C12⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊Dic3.1C2 = C6.4Dic12φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.1C2288,291
C12⋊Dic3.2C2 = C24⋊2Dic3φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.2C2288,292
C12⋊Dic3.3C2 = C24⋊1Dic3φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.3C2288,293
C12⋊Dic3.4C2 = Dic3.Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3.4C2288,493
C12⋊Dic3.5C2 = C12⋊6Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.5C2288,726
C12⋊Dic3.6C2 = C12.25Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.6C2288,727
C12⋊Dic3.7C2 = C62.233C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.7C2288,746
C12⋊Dic3.8C2 = C62.234C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.8C2288,747
C12⋊Dic3.9C2 = C6.Dic12φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3.9C2288,214
C12⋊Dic3.10C2 = C12.Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3.10C2288,221
C12⋊Dic3.11C2 = C6.18D24φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3.11C2288,223
C12⋊Dic3.12C2 = C12.9Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.12C2288,282
C12⋊Dic3.13C2 = C12.10Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.13C2288,283
C12⋊Dic3.14C2 = C62.117D4φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.14C2288,310
C12⋊Dic3.15C2 = Dic3×Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3.15C2288,490
C12⋊Dic3.16C2 = C62.39C23φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3.16C2288,517
C12⋊Dic3.17C2 = C12⋊3Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic396C12:Dic3.17C2288,566
C12⋊Dic3.18C2 = C12⋊2Dic6φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.18C2288,745
C12⋊Dic3.19C2 = Q8×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out C12⋊Dic3288C12:Dic3.19C2288,802
C12⋊Dic3.20C2 = C4×C32⋊4Q8φ: trivial image288C12:Dic3.20C2288,725

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