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Extensions 1→N→G→Q→1 with N=Dic3⋊C4 and Q=C2

Direct product G=N×Q with N=Dic3⋊C4 and Q=C2
dρLabelID
C2×Dic3⋊C496C2xDic3:C496,130

Semidirect products G=N:Q with N=Dic3⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3⋊C4⋊1C2 = C42⋊3S3φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:1C296,83
Dic3⋊C4⋊2C2 = C12.48D4φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:2C296,131
Dic3⋊C4⋊3C2 = C23.28D6φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:3C296,136
Dic3⋊C4⋊4C2 = Dic3.D4φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:4C296,85
Dic3⋊C4⋊5C2 = Dic3⋊D4φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:5C296,91
Dic3⋊C4⋊6C2 = D6.D4φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:6C296,101
Dic3⋊C4⋊7C2 = C23.16D6φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:7C296,84
Dic3⋊C4⋊8C2 = C23.8D6φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:8C296,86
Dic3⋊C4⋊9C2 = Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:9C296,88
Dic3⋊C4⋊10C2 = C23.9D6φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:10C296,90
Dic3⋊C4⋊11C2 = S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:11C296,98
Dic3⋊C4⋊12C2 = D6⋊Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:12C296,103
Dic3⋊C4⋊13C2 = C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:13C296,105
Dic3⋊C4⋊14C2 = C23.23D6φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:14C296,142
Dic3⋊C4⋊15C2 = C23.14D6φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:15C296,146
Dic3⋊C4⋊16C2 = D6⋊3Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊C448Dic3:C4:16C296,153
Dic3⋊C4⋊17C2 = C42⋊2S3φ: trivial image48Dic3:C4:17C296,79
Dic3⋊C4⋊18C2 = C4×C3⋊D4φ: trivial image48Dic3:C4:18C296,135

Non-split extensions G=N.Q with N=Dic3⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3⋊C4.1C2 = C12.6Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊C496Dic3:C4.1C296,77
Dic3⋊C4.2C2 = C12⋊Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊C496Dic3:C4.2C296,95
Dic3⋊C4.3C2 = C4.Dic6φ: C2/C1 → C2 ⊆ Out Dic3⋊C496Dic3:C4.3C296,97
Dic3⋊C4.4C2 = Dic6⋊C4φ: C2/C1 → C2 ⊆ Out Dic3⋊C496Dic3:C4.4C296,94
Dic3⋊C4.5C2 = Dic3.Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊C496Dic3:C4.5C296,96
Dic3⋊C4.6C2 = Dic3⋊Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊C496Dic3:C4.6C296,151
Dic3⋊C4.7C2 = C4×Dic6φ: trivial image96Dic3:C4.7C296,75

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