Extensions 1→N→G→Q→1 with N=D4 and Q=C22:C4

Direct product G=NxQ with N=D4 and Q=C22:C4
dρLabelID
D4xC22:C432D4xC2^2:C4128,1070

Semidirect products G=N:Q with N=D4 and Q=C22:C4
extensionφ:Q→Out NdρLabelID
D4:1(C22:C4) = (C2xC4):9D8φ: C22:C4/C2xC4C2 ⊆ Out D464D4:1(C2^2:C4)128,611
D4:2(C22:C4) = C8:C22:C4φ: C22:C4/C2xC4C2 ⊆ Out D432D4:2(C2^2:C4)128,615
D4:3(C22:C4) = C23.35D8φ: C22:C4/C23C2 ⊆ Out D432D4:3(C2^2:C4)128,518
D4:4(C22:C4) = C24.65D4φ: C22:C4/C23C2 ⊆ Out D464D4:4(C2^2:C4)128,520
D4:5(C22:C4) = C24.66D4φ: C22:C4/C23C2 ⊆ Out D432D4:5(C2^2:C4)128,521
D4:6(C22:C4) = 2+ 1+4:3C4φ: C22:C4/C23C2 ⊆ Out D432D4:6(C2^2:C4)128,524
D4:7(C22:C4) = C24.549C23φ: trivial image64D4:7(C2^2:C4)128,1071

Non-split extensions G=N.Q with N=D4 and Q=C22:C4
extensionφ:Q→Out NdρLabelID
D4.1(C22:C4) = M4(2).43D4φ: C22:C4/C2xC4C2 ⊆ Out D432D4.1(C2^2:C4)128,608
D4.2(C22:C4) = (C2xSD16):14C4φ: C22:C4/C2xC4C2 ⊆ Out D464D4.2(C2^2:C4)128,609
D4.3(C22:C4) = M4(2).44D4φ: C22:C4/C2xC4C2 ⊆ Out D4324D4.3(C2^2:C4)128,613
D4.4(C22:C4) = C8.C22:C4φ: C22:C4/C2xC4C2 ⊆ Out D432D4.4(C2^2:C4)128,614
D4.5(C22:C4) = M4(2).46D4φ: C22:C4/C2xC4C2 ⊆ Out D4328-D4.5(C2^2:C4)128,634
D4.6(C22:C4) = M4(2).47D4φ: C22:C4/C2xC4C2 ⊆ Out D4168+D4.6(C2^2:C4)128,635
D4.7(C22:C4) = C42.5D4φ: C22:C4/C2xC4C2 ⊆ Out D4168+D4.7(C2^2:C4)128,636
D4.8(C22:C4) = C42.426D4φ: C22:C4/C2xC4C2 ⊆ Out D4164D4.8(C2^2:C4)128,638
D4.9(C22:C4) = M4(2).48D4φ: C22:C4/C2xC4C2 ⊆ Out D432D4.9(C2^2:C4)128,639
D4.10(C22:C4) = M4(2).49D4φ: C22:C4/C2xC4C2 ⊆ Out D464D4.10(C2^2:C4)128,640
D4.11(C22:C4) = 2- 1+4:2C4φ: C22:C4/C23C2 ⊆ Out D432D4.11(C2^2:C4)128,525
D4.12(C22:C4) = 2+ 1+4:4C4φ: C22:C4/C23C2 ⊆ Out D4324D4.12(C2^2:C4)128,526
D4.13(C22:C4) = C4oD4.D4φ: C22:C4/C23C2 ⊆ Out D4168+D4.13(C2^2:C4)128,527
D4.14(C22:C4) = (C22xQ8):C4φ: C22:C4/C23C2 ⊆ Out D4328-D4.14(C2^2:C4)128,528
D4.15(C22:C4) = D4o(C22:C8)φ: trivial image32D4.15(C2^2:C4)128,1612
D4.16(C22:C4) = C23.C24φ: trivial image168+D4.16(C2^2:C4)128,1615
D4.17(C22:C4) = M4(2).24C23φ: trivial image168+D4.17(C2^2:C4)128,1620
D4.18(C22:C4) = M4(2).25C23φ: trivial image328-D4.18(C2^2:C4)128,1621
D4.19(C22:C4) = 2+ 1+4:5C4φ: trivial image32D4.19(C2^2:C4)128,1629
D4.20(C22:C4) = 2- 1+4:4C4φ: trivial image64D4.20(C2^2:C4)128,1630
D4.21(C22:C4) = 2- 1+4:5C4φ: trivial image164D4.21(C2^2:C4)128,1633

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