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Extensions 1→N→G→Q→1 with N=Dic7⋊C4 and Q=C2

Direct product G=N×Q with N=Dic7⋊C4 and Q=C2
dρLabelID
C2×Dic7⋊C4224C2xDic7:C4224,118

Semidirect products G=N:Q with N=Dic7⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊C4⋊1C2 = C42⋊2D7φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:1C2224,71
Dic7⋊C4⋊2C2 = C28.48D4φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:2C2224,119
Dic7⋊C4⋊3C2 = C23.23D14φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:3C2224,124
Dic7⋊C4⋊4C2 = C22⋊Dic14φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:4C2224,73
Dic7⋊C4⋊5C2 = D14⋊D4φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:5C2224,79
Dic7⋊C4⋊6C2 = D14.5D4φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:6C2224,89
Dic7⋊C4⋊7C2 = C23.11D14φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:7C2224,72
Dic7⋊C4⋊8C2 = C23.D14φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:8C2224,74
Dic7⋊C4⋊9C2 = Dic7⋊4D4φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:9C2224,76
Dic7⋊C4⋊10C2 = D14.D4φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:10C2224,78
Dic7⋊C4⋊11C2 = D7×C4⋊C4φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:11C2224,86
Dic7⋊C4⋊12C2 = D14⋊Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:12C2224,91
Dic7⋊C4⋊13C2 = C4⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:13C2224,93
Dic7⋊C4⋊14C2 = C23.18D14φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:14C2224,130
Dic7⋊C4⋊15C2 = Dic7⋊D4φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:15C2224,134
Dic7⋊C4⋊16C2 = D14⋊3Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4112Dic7:C4:16C2224,141
Dic7⋊C4⋊17C2 = C42⋊D7φ: trivial image112Dic7:C4:17C2224,67
Dic7⋊C4⋊18C2 = C4×C7⋊D4φ: trivial image112Dic7:C4:18C2224,123

Non-split extensions G=N.Q with N=Dic7⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊C4.1C2 = C28.6Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4224Dic7:C4.1C2224,65
Dic7⋊C4.2C2 = C28⋊Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4224Dic7:C4.2C2224,83
Dic7⋊C4.3C2 = C28.3Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4224Dic7:C4.3C2224,85
Dic7⋊C4.4C2 = Dic7⋊3Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4224Dic7:C4.4C2224,82
Dic7⋊C4.5C2 = Dic7.Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4224Dic7:C4.5C2224,84
Dic7⋊C4.6C2 = Dic7⋊Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊C4224Dic7:C4.6C2224,139
Dic7⋊C4.7C2 = C4×Dic14φ: trivial image224Dic7:C4.7C2224,63

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