Extensions 1→N→G→Q→1 with N=C7:C16 and Q=C22

Direct product G=NxQ with N=C7:C16 and Q=C22
dρLabelID
C22xC7:C16448C2^2xC7:C16448,630

Semidirect products G=N:Q with N=C7:C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C7:C16:1C22 = D8:D14φ: C22/C1C22 ⊆ Out C7:C161124C7:C16:1C2^2448,445
C7:C16:2C22 = D112:C2φ: C22/C1C22 ⊆ Out C7:C161124+C7:C16:2C2^2448,448
C7:C16:3C22 = D8.D14φ: C22/C1C22 ⊆ Out C7:C161124C7:C16:3C2^2448,681
C7:C16:4C22 = Q16:D14φ: C22/C1C22 ⊆ Out C7:C161124+C7:C16:4C2^2448,727
C7:C16:5C22 = D7xD16φ: C22/C2C2 ⊆ Out C7:C161124+C7:C16:5C2^2448,444
C7:C16:6C22 = D7xSD32φ: C22/C2C2 ⊆ Out C7:C161124C7:C16:6C2^2448,447
C7:C16:7C22 = C2xC7:D16φ: C22/C2C2 ⊆ Out C7:C16224C7:C16:7C2^2448,680
C7:C16:8C22 = C2xD8.D7φ: C22/C2C2 ⊆ Out C7:C16224C7:C16:8C2^2448,682
C7:C16:9C22 = C2xC7:SD32φ: C22/C2C2 ⊆ Out C7:C16224C7:C16:9C2^2448,712
C7:C16:10C22 = C2xC16:D7φ: C22/C2C2 ⊆ Out C7:C16224C7:C16:10C2^2448,434
C7:C16:11C22 = D7xM5(2)φ: C22/C2C2 ⊆ Out C7:C161124C7:C16:11C2^2448,440
C7:C16:12C22 = C2xC28.C8φ: C22/C2C2 ⊆ Out C7:C16224C7:C16:12C2^2448,631
C7:C16:13C22 = D7xC2xC16φ: trivial image224C7:C16:13C2^2448,433

Non-split extensions G=N.Q with N=C7:C16 and Q=C22
extensionφ:Q→Out NdρLabelID
C7:C16.1C22 = SD32:D7φ: C22/C1C22 ⊆ Out C7:C162244-C7:C16.1C2^2448,449
C7:C16.2C22 = Q32:D7φ: C22/C1C22 ⊆ Out C7:C162244C7:C16.2C2^2448,452
C7:C16.3C22 = Q16.D14φ: C22/C1C22 ⊆ Out C7:C162244C7:C16.3C2^2448,713
C7:C16.4C22 = C56.31C23φ: C22/C1C22 ⊆ Out C7:C162244-C7:C16.4C2^2448,729
C7:C16.5C22 = D16:3D7φ: C22/C2C2 ⊆ Out C7:C162244-C7:C16.5C2^2448,446
C7:C16.6C22 = SD32:3D7φ: C22/C2C2 ⊆ Out C7:C162244C7:C16.6C2^2448,450
C7:C16.7C22 = D7xQ32φ: C22/C2C2 ⊆ Out C7:C162244-C7:C16.7C2^2448,451
C7:C16.8C22 = Q32:3D7φ: C22/C2C2 ⊆ Out C7:C162244+C7:C16.8C2^2448,453
C7:C16.9C22 = C2xC7:Q32φ: C22/C2C2 ⊆ Out C7:C16448C7:C16.9C2^2448,714
C7:C16.10C22 = C56.30C23φ: C22/C2C2 ⊆ Out C7:C162244C7:C16.10C2^2448,728
C7:C16.11C22 = D28.4C8φ: C22/C2C2 ⊆ Out C7:C162242C7:C16.11C2^2448,435
C7:C16.12C22 = C56.70C23φ: C22/C2C2 ⊆ Out C7:C162244C7:C16.12C2^2448,674
C7:C16.13C22 = C16.12D14φ: trivial image2244C7:C16.13C2^2448,441

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