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Extensions 1→N→G→Q→1 with N=C2 and Q=D4⋊D4

Direct product G=N×Q with N=C2 and Q=D4⋊D4
dρLabelID
C2×D4⋊D464C2xD4:D4128,1732


Non-split extensions G=N.Q with N=C2 and Q=D4⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(D4⋊D4) = C24.65D4central extension (φ=1)64C2.1(D4:D4)128,520
C2.2(D4⋊D4) = C24.71D4central extension (φ=1)64C2.2(D4:D4)128,586
C2.3(D4⋊D4) = Q8⋊(C4⋊C4)central extension (φ=1)128C2.3(D4:D4)128,595
C2.4(D4⋊D4) = D4⋊(C4⋊C4)central extension (φ=1)64C2.4(D4:D4)128,596
C2.5(D4⋊D4) = C24.74D4central extension (φ=1)64C2.5(D4:D4)128,607
C2.6(D4⋊D4) = (C2×C4)⋊9D8central extension (φ=1)64C2.6(D4:D4)128,611
C2.7(D4⋊D4) = (C2×SD16)⋊15C4central extension (φ=1)64C2.7(D4:D4)128,612
C2.8(D4⋊D4) = C4⋊C4.D4central stem extension (φ=1)32C2.8(D4:D4)128,329
C2.9(D4⋊D4) = C24.9D4central stem extension (φ=1)16C2.9(D4:D4)128,332
C2.10(D4⋊D4) = C4⋊C4.12D4central stem extension (φ=1)32C2.10(D4:D4)128,341
C2.11(D4⋊D4) = C24.15D4central stem extension (φ=1)32C2.11(D4:D4)128,344
C2.12(D4⋊D4) = C42.181C23central stem extension (φ=1)64C2.12(D4:D4)128,352
C2.13(D4⋊D4) = Q8⋊D8central stem extension (φ=1)64C2.13(D4:D4)128,353
C2.14(D4⋊D4) = D4⋊SD16central stem extension (φ=1)64C2.14(D4:D4)128,354
C2.15(D4⋊D4) = C42.185C23central stem extension (φ=1)64C2.15(D4:D4)128,356
C2.16(D4⋊D4) = D4⋊3D8central stem extension (φ=1)64C2.16(D4:D4)128,357
C2.17(D4⋊D4) = Q8⋊6SD16central stem extension (φ=1)64C2.17(D4:D4)128,358
C2.18(D4⋊D4) = C42.189C23central stem extension (φ=1)64C2.18(D4:D4)128,360
C2.19(D4⋊D4) = C42.201C23central stem extension (φ=1)64C2.19(D4:D4)128,372
C2.20(D4⋊D4) = Q8⋊3SD16central stem extension (φ=1)64C2.20(D4:D4)128,374
C2.21(D4⋊D4) = D4⋊3Q16central stem extension (φ=1)64C2.21(D4:D4)128,376
C2.22(D4⋊D4) = C42.207C23central stem extension (φ=1)64C2.22(D4:D4)128,378
C2.23(D4⋊D4) = Q8⋊4Q16central stem extension (φ=1)128C2.23(D4:D4)128,380
C2.24(D4⋊D4) = C42.211C23central stem extension (φ=1)64C2.24(D4:D4)128,382
C2.25(D4⋊D4) = C42.213C23central stem extension (φ=1)64C2.25(D4:D4)128,384
C2.26(D4⋊D4) = D4⋊4SD16central stem extension (φ=1)64C2.26(D4:D4)128,386
C2.27(D4⋊D4) = C23⋊2D8central stem extension (φ=1)64C2.27(D4:D4)128,731
C2.28(D4⋊D4) = C23⋊3SD16central stem extension (φ=1)64C2.28(D4:D4)128,732
C2.29(D4⋊D4) = (C22×D8).C2central stem extension (φ=1)64C2.29(D4:D4)128,744
C2.30(D4⋊D4) = C4⋊C4.84D4central stem extension (φ=1)64C2.30(D4:D4)128,757
C2.31(D4⋊D4) = C24.84D4central stem extension (φ=1)64C2.31(D4:D4)128,766
C2.32(D4⋊D4) = C24.86D4central stem extension (φ=1)64C2.32(D4:D4)128,768
C2.33(D4⋊D4) = C4⋊C4.94D4central stem extension (φ=1)64C2.33(D4:D4)128,774
C2.34(D4⋊D4) = C2.(C8⋊Q8)central stem extension (φ=1)128C2.34(D4:D4)128,791

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