Extensions 1→N→G→Q→1 with N=Q8 and Q=C22⋊C4

Direct product G=N×Q with N=Q8 and Q=C22⋊C4
dρLabelID
Q8×C22⋊C464Q8xC2^2:C4128,1072

Semidirect products G=N:Q with N=Q8 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
Q81(C22⋊C4) = (C2×SD16)⋊15C4φ: C22⋊C4/C2×C4C2 ⊆ Out Q864Q8:1(C2^2:C4)128,612
Q82(C22⋊C4) = C8⋊C22⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Out Q832Q8:2(C2^2:C4)128,615
Q83(C22⋊C4) = C24.155D4φ: C22⋊C4/C23C2 ⊆ Out Q864Q8:3(C2^2:C4)128,519
Q84(C22⋊C4) = C24.65D4φ: C22⋊C4/C23C2 ⊆ Out Q864Q8:4(C2^2:C4)128,520
Q85(C22⋊C4) = C24.66D4φ: C22⋊C4/C23C2 ⊆ Out Q832Q8:5(C2^2:C4)128,521
Q86(C22⋊C4) = 2+ 1+43C4φ: C22⋊C4/C23C2 ⊆ Out Q832Q8:6(C2^2:C4)128,524
Q87(C22⋊C4) = C23.223C24φ: trivial image64Q8:7(C2^2:C4)128,1073

Non-split extensions G=N.Q with N=Q8 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
Q8.1(C22⋊C4) = M4(2).43D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q832Q8.1(C2^2:C4)128,608
Q8.2(C22⋊C4) = (C2×C4)⋊9Q16φ: C22⋊C4/C2×C4C2 ⊆ Out Q8128Q8.2(C2^2:C4)128,610
Q8.3(C22⋊C4) = M4(2).44D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q8324Q8.3(C2^2:C4)128,613
Q8.4(C22⋊C4) = C8.C22⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Out Q832Q8.4(C2^2:C4)128,614
Q8.5(C22⋊C4) = M4(2).46D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q8328-Q8.5(C2^2:C4)128,634
Q8.6(C22⋊C4) = M4(2).47D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q8168+Q8.6(C2^2:C4)128,635
Q8.7(C22⋊C4) = C42.6D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q8328-Q8.7(C2^2:C4)128,637
Q8.8(C22⋊C4) = C42.426D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q8164Q8.8(C2^2:C4)128,638
Q8.9(C22⋊C4) = M4(2).48D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q832Q8.9(C2^2:C4)128,639
Q8.10(C22⋊C4) = M4(2).49D4φ: C22⋊C4/C2×C4C2 ⊆ Out Q864Q8.10(C2^2:C4)128,640
Q8.11(C22⋊C4) = 2- 1+42C4φ: C22⋊C4/C23C2 ⊆ Out Q832Q8.11(C2^2:C4)128,525
Q8.12(C22⋊C4) = 2+ 1+44C4φ: C22⋊C4/C23C2 ⊆ Out Q8324Q8.12(C2^2:C4)128,526
Q8.13(C22⋊C4) = C4○D4.D4φ: C22⋊C4/C23C2 ⊆ Out Q8168+Q8.13(C2^2:C4)128,527
Q8.14(C22⋊C4) = (C22×Q8)⋊C4φ: C22⋊C4/C23C2 ⊆ Out Q8328-Q8.14(C2^2:C4)128,528
Q8.15(C22⋊C4) = D4○(C22⋊C8)φ: trivial image32Q8.15(C2^2:C4)128,1612
Q8.16(C22⋊C4) = C23.4C24φ: trivial image328-Q8.16(C2^2:C4)128,1616
Q8.17(C22⋊C4) = M4(2).24C23φ: trivial image168+Q8.17(C2^2:C4)128,1620
Q8.18(C22⋊C4) = M4(2).25C23φ: trivial image328-Q8.18(C2^2:C4)128,1621
Q8.19(C22⋊C4) = 2+ 1+45C4φ: trivial image32Q8.19(C2^2:C4)128,1629
Q8.20(C22⋊C4) = 2- 1+44C4φ: trivial image64Q8.20(C2^2:C4)128,1630
Q8.21(C22⋊C4) = 2- 1+45C4φ: trivial image164Q8.21(C2^2:C4)128,1633

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