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Extensions 1→N→G→Q→1 with N=C4 and Q=D4:D7

Direct product G=NxQ with N=C4 and Q=D4:D7
dρLabelID
C4xD4:D7224C4xD4:D7448,547

Semidirect products G=N:Q with N=C4 and Q=D4:D7
extensionφ:Q→Aut NdρLabelID
C4:1(D4:D7) = C28:D8φ: D4:D7/C7:C8 → C2 ⊆ Aut C4224C4:1(D4:D7)448,607
C4:2(D4:D7) = C28:2D8φ: D4:D7/D28 → C2 ⊆ Aut C4224C4:2(D4:D7)448,606
C4:3(D4:D7) = C28:7D8φ: D4:D7/C7xD4 → C2 ⊆ Aut C4224C4:3(D4:D7)448,549

Non-split extensions G=N.Q with N=C4 and Q=D4:D7
extensionφ:Q→Aut NdρLabelID
C4.1(D4:D7) = C7:D32φ: D4:D7/C7:C8 → C2 ⊆ Aut C42244+C4.1(D4:D7)448,76
C4.2(D4:D7) = D16.D7φ: D4:D7/C7:C8 → C2 ⊆ Aut C42244-C4.2(D4:D7)448,77
C4.3(D4:D7) = C7:SD64φ: D4:D7/C7:C8 → C2 ⊆ Aut C42244+C4.3(D4:D7)448,78
C4.4(D4:D7) = C7:Q64φ: D4:D7/C7:C8 → C2 ⊆ Aut C44484-C4.4(D4:D7)448,79
C4.5(D4:D7) = C28.16D8φ: D4:D7/C7:C8 → C2 ⊆ Aut C4224C4.5(D4:D7)448,604
C4.6(D4:D7) = C28.17D8φ: D4:D7/C7:C8 → C2 ⊆ Aut C4448C4.6(D4:D7)448,612
C4.7(D4:D7) = C28.D8φ: D4:D7/C7:C8 → C2 ⊆ Aut C4224C4.7(D4:D7)448,622
C4.8(D4:D7) = C2xC7:D16φ: D4:D7/C7:C8 → C2 ⊆ Aut C4224C4.8(D4:D7)448,680
C4.9(D4:D7) = C2xD8.D7φ: D4:D7/C7:C8 → C2 ⊆ Aut C4224C4.9(D4:D7)448,682
C4.10(D4:D7) = C2xC7:SD32φ: D4:D7/C7:C8 → C2 ⊆ Aut C4224C4.10(D4:D7)448,712
C4.11(D4:D7) = C2xC7:Q32φ: D4:D7/C7:C8 → C2 ⊆ Aut C4448C4.11(D4:D7)448,714
C4.12(D4:D7) = C28.9D8φ: D4:D7/D28 → C2 ⊆ Aut C4224C4.12(D4:D7)448,101
C4.13(D4:D7) = C28.10D8φ: D4:D7/D28 → C2 ⊆ Aut C4448C4.13(D4:D7)448,104
C4.14(D4:D7) = D8.Dic7φ: D4:D7/D28 → C2 ⊆ Aut C41124C4.14(D4:D7)448,120
C4.15(D4:D7) = Q16.Dic7φ: D4:D7/D28 → C2 ⊆ Aut C42244C4.15(D4:D7)448,122
C4.16(D4:D7) = D28:6Q8φ: D4:D7/D28 → C2 ⊆ Aut C4224C4.16(D4:D7)448,621
C4.17(D4:D7) = D8.D14φ: D4:D7/D28 → C2 ⊆ Aut C41124C4.17(D4:D7)448,681
C4.18(D4:D7) = Q16.D14φ: D4:D7/D28 → C2 ⊆ Aut C42244C4.18(D4:D7)448,713
C4.19(D4:D7) = C28.47D8φ: D4:D7/C7xD4 → C2 ⊆ Aut C4448C4.19(D4:D7)448,39
C4.20(D4:D7) = C4.D56φ: D4:D7/C7xD4 → C2 ⊆ Aut C4224C4.20(D4:D7)448,42
C4.21(D4:D7) = D56.C4φ: D4:D7/C7xD4 → C2 ⊆ Aut C41124+C4.21(D4:D7)448,52
C4.22(D4:D7) = C56.8D4φ: D4:D7/C7xD4 → C2 ⊆ Aut C42244-C4.22(D4:D7)448,53
C4.23(D4:D7) = C28.50D8φ: D4:D7/C7xD4 → C2 ⊆ Aut C4224C4.23(D4:D7)448,541
C4.24(D4:D7) = Q16:D14φ: D4:D7/C7xD4 → C2 ⊆ Aut C41124+C4.24(D4:D7)448,727
C4.25(D4:D7) = C56.31C23φ: D4:D7/C7xD4 → C2 ⊆ Aut C42244-C4.25(D4:D7)448,729
C4.26(D4:D7) = C28.53D8central extension (φ=1)448C4.26(D4:D7)448,36
C4.27(D4:D7) = D28:2C8central extension (φ=1)224C4.27(D4:D7)448,40
C4.28(D4:D7) = C8.7Dic14central extension (φ=1)2244C4.28(D4:D7)448,50
C4.29(D4:D7) = Dic28.C4central extension (φ=1)2244C4.29(D4:D7)448,54
C4.30(D4:D7) = C28.57D8central extension (φ=1)224C4.30(D4:D7)448,91
C4.31(D4:D7) = C28.58D8central extension (φ=1)2244C4.31(D4:D7)448,124
C4.32(D4:D7) = C56.30C23central extension (φ=1)2244C4.32(D4:D7)448,728

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