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Extensions 1→N→G→Q→1 with N=D14⋊C4 and Q=C2

Direct product G=N×Q with N=D14⋊C4 and Q=C2
dρLabelID
C2×D14⋊C4112C2xD14:C4224,122

Semidirect products G=N:Q with N=D14⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊C4⋊1C2 = C4.D28φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:1C2224,70
D14⋊C4⋊2C2 = C23.23D14φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:2C2224,124
D14⋊C4⋊3C2 = C28⋊7D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:3C2224,125
D14⋊C4⋊4C2 = C22⋊D28φ: C2/C1 → C2 ⊆ Out D14⋊C456D14:C4:4C2224,77
D14⋊C4⋊5C2 = D14.D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:5C2224,78
D14⋊C4⋊6C2 = Dic7.D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:6C2224,80
D14⋊C4⋊7C2 = C22.D28φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:7C2224,81
D14⋊C4⋊8C2 = C4⋊D28φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:8C2224,90
D14⋊C4⋊9C2 = D7×C22⋊C4φ: C2/C1 → C2 ⊆ Out D14⋊C456D14:C4:9C2224,75
D14⋊C4⋊10C2 = Dic7⋊4D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:10C2224,76
D14⋊C4⋊11C2 = D14⋊D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:11C2224,79
D14⋊C4⋊12C2 = D28⋊C4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:12C2224,88
D14⋊C4⋊13C2 = D14.5D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:13C2224,89
D14⋊C4⋊14C2 = C23⋊D14φ: C2/C1 → C2 ⊆ Out D14⋊C456D14:C4:14C2224,132
D14⋊C4⋊15C2 = Dic7⋊D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:15C2224,134
D14⋊C4⋊16C2 = C28.23D4φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4:16C2224,142
D14⋊C4⋊17C2 = C4×D28φ: trivial image112D14:C4:17C2224,68
D14⋊C4⋊18C2 = C4×C7⋊D4φ: trivial image112D14:C4:18C2224,123

Non-split extensions G=N.Q with N=D14⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊C4.1C2 = C42⋊2D7φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4.1C2224,71
D14⋊C4.2C2 = D14⋊Q8φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4.2C2224,91
D14⋊C4.3C2 = D14⋊2Q8φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4.3C2224,92
D14⋊C4.4C2 = C4⋊C4⋊7D7φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4.4C2224,87
D14⋊C4.5C2 = C4⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4.5C2224,93
D14⋊C4.6C2 = D14⋊3Q8φ: C2/C1 → C2 ⊆ Out D14⋊C4112D14:C4.6C2224,141
D14⋊C4.7C2 = C42⋊D7φ: trivial image112D14:C4.7C2224,67

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