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Extensions 1→N→G→Q→1 with N=C4.Dic7 and Q=C4

Direct product G=N×Q with N=C4.Dic7 and Q=C4
dρLabelID
C4×C4.Dic7224C4xC4.Dic7448,456

Semidirect products G=N:Q with N=C4.Dic7 and Q=C4
extensionφ:Q→Out NdρLabelID
C4.Dic7⋊1C4 = C28.8C42φ: C4/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:1C4448,80
C4.Dic7⋊2C4 = C28.(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:2C4448,87
C4.Dic7⋊3C4 = C28.2C42φ: C4/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:3C4448,89
C4.Dic7⋊4C4 = (C2×C28).Q8φ: C4/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:4C4448,90
C4.Dic7⋊5C4 = M4(2)⋊Dic7φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:5C4448,111
C4.Dic7⋊6C4 = (C2×C56)⋊C4φ: C4/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:6C4448,113
C4.Dic7⋊7C4 = C4.Dic7⋊C4φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:7C4448,498
C4.Dic7⋊8C4 = C28.(C2×Q8)φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:8C4448,529
C4.Dic7⋊9C4 = C28.5C42φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:9C4448,531
C4.Dic7⋊10C4 = M4(2)×Dic7φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:10C4448,651
C4.Dic7⋊11C4 = C28.12C42φ: trivial image224C4.Dic7:11C4448,635

Non-split extensions G=N.Q with N=C4.Dic7 and Q=C4
extensionφ:Q→Out NdρLabelID
C4.Dic7.1C4 = D28.C8φ: C4/C2 → C2 ⊆ Out C4.Dic72242C4.Dic7.1C4448,65
C4.Dic7.2C4 = C28.10C42φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7.2C4448,109
C4.Dic7.3C4 = Dic14.C8φ: C4/C2 → C2 ⊆ Out C4.Dic72244C4.Dic7.3C4448,72
C4.Dic7.4C4 = C28.4C42φ: C4/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7.4C4448,115
C4.Dic7.5C4 = C16.12D14φ: C4/C2 → C2 ⊆ Out C4.Dic72244C4.Dic7.5C4448,441
C4.Dic7.6C4 = C23.Dic14φ: C4/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.6C4448,658
C4.Dic7.7C4 = D28.4C8φ: trivial image2242C4.Dic7.7C4448,435

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