# Extensions 1→N→G→Q→1 with N=C4⋊1D4 and Q=C14

Direct product G=N×Q with N=C41D4 and Q=C14
dρLabelID
C14×C41D4224C14xC4:1D4448,1313

Semidirect products G=N:Q with N=C41D4 and Q=C14
extensionφ:Q→Out NdρLabelID
C41D41C14 = C7×D44D4φ: C14/C7C2 ⊆ Out C41D4564C4:1D4:1C14448,861
C41D42C14 = C7×C4⋊D8φ: C14/C7C2 ⊆ Out C41D4224C4:1D4:2C14448,867
C41D43C14 = C7×C84D4φ: C14/C7C2 ⊆ Out C41D4224C4:1D4:3C14448,901
C41D44C14 = C7×C83D4φ: C14/C7C2 ⊆ Out C41D4224C4:1D4:4C14448,904
C41D45C14 = C7×C22.29C24φ: C14/C7C2 ⊆ Out C41D4112C4:1D4:5C14448,1318
C41D46C14 = C7×C22.34C24φ: C14/C7C2 ⊆ Out C41D4224C4:1D4:6C14448,1323
C41D47C14 = C7×D42φ: C14/C7C2 ⊆ Out C41D4112C4:1D4:7C14448,1328
C41D48C14 = C7×Q86D4φ: C14/C7C2 ⊆ Out C41D4224C4:1D4:8C14448,1333
C41D49C14 = C7×C22.54C24φ: C14/C7C2 ⊆ Out C41D4112C4:1D4:9C14448,1343
C41D410C14 = C7×C22.26C24φ: trivial image224C4:1D4:10C14448,1315

Non-split extensions G=N.Q with N=C41D4 and Q=C14
extensionφ:Q→Out NdρLabelID
C41D4.1C14 = C7×C4.D8φ: C14/C7C2 ⊆ Out C41D4224C4:1D4.1C14448,135
C41D4.2C14 = C7×C42⋊C4φ: C14/C7C2 ⊆ Out C41D4564C4:1D4.2C14448,157
C41D4.3C14 = C7×C4⋊SD16φ: C14/C7C2 ⊆ Out C41D4224C4:1D4.3C14448,868
C41D4.4C14 = C7×C4.4D8φ: C14/C7C2 ⊆ Out C41D4224C4:1D4.4C14448,894
C41D4.5C14 = C7×C42.29C22φ: C14/C7C2 ⊆ Out C41D4224C4:1D4.5C14448,898
C41D4.6C14 = C7×C85D4φ: C14/C7C2 ⊆ Out C41D4224C4:1D4.6C14448,900
C41D4.7C14 = C7×C22.53C24φ: C14/C7C2 ⊆ Out C41D4224C4:1D4.7C14448,1342

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