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Extensions 1→N→G→Q→1 with N=C22 and Q=C42⋊C2

Direct product G=N×Q with N=C22 and Q=C42⋊C2
dρLabelID
C22×C42⋊C264C2^2xC4^2:C2128,2153

Semidirect products G=N:Q with N=C22 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C22⋊1(C42⋊C2) = C42⋊42D4φ: C42⋊C2/C42 → C2 ⊆ Aut C2264C2^2:1(C4^2:C2)128,1022
C22⋊2(C42⋊C2) = C23.224C24φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C2232C2^2:2(C4^2:C2)128,1074
C22⋊3(C42⋊C2) = C23.234C24φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2:3(C4^2:C2)128,1084
C22⋊4(C42⋊C2) = C25.85C22φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2:4(C4^2:C2)128,1012

Non-split extensions G=N.Q with N=C22 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C22.1(C42⋊C2) = Q8.C42φ: C42⋊C2/C42 → C2 ⊆ Aut C2232C2^2.1(C4^2:C2)128,496
C22.2(C42⋊C2) = D4.3C42φ: C42⋊C2/C42 → C2 ⊆ Aut C2232C2^2.2(C4^2:C2)128,497
C22.3(C42⋊C2) = C24.547C23φ: C42⋊C2/C42 → C2 ⊆ Aut C2264C2^2.3(C4^2:C2)128,1050
C22.4(C42⋊C2) = C42.260C23φ: C42⋊C2/C42 → C2 ⊆ Aut C2264C2^2.4(C4^2:C2)128,1654
C22.5(C42⋊C2) = C42.261C23φ: C42⋊C2/C42 → C2 ⊆ Aut C2264C2^2.5(C4^2:C2)128,1655
C22.6(C42⋊C2) = C24.C23φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C22168+C2^2.6(C4^2:C2)128,560
C22.7(C42⋊C2) = C24.6(C2×C4)φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C22168+C2^2.7(C4^2:C2)128,561
C22.8(C42⋊C2) = (C2×Q8).211D4φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C22328-C2^2.8(C4^2:C2)128,562
C22.9(C42⋊C2) = C4.10D4⋊3C4φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C2264C2^2.9(C4^2:C2)128,662
C22.10(C42⋊C2) = C4.D4⋊3C4φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C2232C2^2.10(C4^2:C2)128,663
C22.11(C42⋊C2) = C42.427D4φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C22164C2^2.11(C4^2:C2)128,664
C22.12(C42⋊C2) = C23.225C24φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C2264C2^2.12(C4^2:C2)128,1075
C22.13(C42⋊C2) = C42.262C23φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C2232C2^2.13(C4^2:C2)128,1656
C22.14(C42⋊C2) = C8○D4⋊C4φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C22324C2^2.14(C4^2:C2)128,546
C22.15(C42⋊C2) = C4○D4.4Q8φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.15(C4^2:C2)128,547
C22.16(C42⋊C2) = C4○D4.5Q8φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.16(C4^2:C2)128,548
C22.17(C42⋊C2) = C23.235C24φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.17(C4^2:C2)128,1085
C22.18(C42⋊C2) = C42.678C23φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.18(C4^2:C2)128,1657
C22.19(C42⋊C2) = C8.16C42φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C22324C2^2.19(C4^2:C2)128,479
C22.20(C42⋊C2) = C4×C23⋊C4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.20(C4^2:C2)128,486
C22.21(C42⋊C2) = C4×C4.D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.21(C4^2:C2)128,487
C22.22(C42⋊C2) = C4×C4.10D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2264C2^2.22(C4^2:C2)128,488
C22.23(C42⋊C2) = C8.14C42φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.23(C4^2:C2)128,504
C22.24(C42⋊C2) = C8.5C42φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.24(C4^2:C2)128,505
C22.25(C42⋊C2) = C24.167C23φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.25(C4^2:C2)128,531
C22.26(C42⋊C2) = C42.96D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.26(C4^2:C2)128,532
C22.27(C42⋊C2) = C42.97D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2264C2^2.27(C4^2:C2)128,533
C22.28(C42⋊C2) = C24.68D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2216C2^2.28(C4^2:C2)128,551
C22.29(C42⋊C2) = C24.169C23φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.29(C4^2:C2)128,552
C22.30(C42⋊C2) = (C22×C4).275D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.30(C4^2:C2)128,553
C22.31(C42⋊C2) = (C22×C4).276D4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.31(C4^2:C2)128,554
C22.32(C42⋊C2) = C8.(C4⋊C4)φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C22324C2^2.32(C4^2:C2)128,565
C22.33(C42⋊C2) = C8⋊C4⋊17C4φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C22164C2^2.33(C4^2:C2)128,573
C22.34(C42⋊C2) = C23.165C24φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2264C2^2.34(C4^2:C2)128,1015
C22.35(C42⋊C2) = C23.194C24φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.35(C4^2:C2)128,1044
C22.36(C42⋊C2) = C23.195C24φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2264C2^2.36(C4^2:C2)128,1045
C22.37(C42⋊C2) = C42.677C23φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.37(C4^2:C2)128,1652
C22.38(C42⋊C2) = C42.259C23φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C2232C2^2.38(C4^2:C2)128,1653
C22.39(C42⋊C2) = C4×C2.C42central extension (φ=1)128C2^2.39(C4^2:C2)128,164
C22.40(C42⋊C2) = C24.17Q8central extension (φ=1)64C2^2.40(C4^2:C2)128,165
C22.41(C42⋊C2) = C24.624C23central extension (φ=1)128C2^2.41(C4^2:C2)128,166
C22.42(C42⋊C2) = C24.625C23central extension (φ=1)128C2^2.42(C4^2:C2)128,167
C22.43(C42⋊C2) = C24.626C23central extension (φ=1)128C2^2.43(C4^2:C2)128,168
C22.44(C42⋊C2) = C23⋊2C42central extension (φ=1)64C2^2.44(C4^2:C2)128,169
C22.45(C42⋊C2) = C42⋊4C8central extension (φ=1)128C2^2.45(C4^2:C2)128,476
C22.46(C42⋊C2) = C43.C2central extension (φ=1)128C2^2.46(C4^2:C2)128,477
C22.47(C42⋊C2) = (C4×C8)⋊12C4central extension (φ=1)128C2^2.47(C4^2:C2)128,478
C22.48(C42⋊C2) = C4×C22⋊C8central extension (φ=1)64C2^2.48(C4^2:C2)128,480
C22.49(C42⋊C2) = C42.378D4central extension (φ=1)64C2^2.49(C4^2:C2)128,481
C22.50(C42⋊C2) = C42.379D4central extension (φ=1)64C2^2.50(C4^2:C2)128,482
C22.51(C42⋊C2) = C4×C4⋊C8central extension (φ=1)128C2^2.51(C4^2:C2)128,498
C22.52(C42⋊C2) = C43.7C2central extension (φ=1)128C2^2.52(C4^2:C2)128,499
C22.53(C42⋊C2) = C42.45Q8central extension (φ=1)128C2^2.53(C4^2:C2)128,500
C22.54(C42⋊C2) = C42.425D4central extension (φ=1)64C2^2.54(C4^2:C2)128,529
C22.55(C42⋊C2) = C23.32M4(2)central extension (φ=1)64C2^2.55(C4^2:C2)128,549
C22.56(C42⋊C2) = C42⋊8C8central extension (φ=1)128C2^2.56(C4^2:C2)128,563
C22.57(C42⋊C2) = C42⋊5C8central extension (φ=1)128C2^2.57(C4^2:C2)128,571
C22.58(C42⋊C2) = C4⋊C4⋊3C8central extension (φ=1)128C2^2.58(C4^2:C2)128,648
C22.59(C42⋊C2) = C22⋊C4⋊4C8central extension (φ=1)64C2^2.59(C4^2:C2)128,655
C22.60(C42⋊C2) = C2×C42⋊4C4central extension (φ=1)128C2^2.60(C4^2:C2)128,999
C22.61(C42⋊C2) = C2×C4×C22⋊C4central extension (φ=1)64C2^2.61(C4^2:C2)128,1000
C22.62(C42⋊C2) = C2×C4×C4⋊C4central extension (φ=1)128C2^2.62(C4^2:C2)128,1001
C22.63(C42⋊C2) = C2×C23.7Q8central extension (φ=1)64C2^2.63(C4^2:C2)128,1010
C22.64(C42⋊C2) = C2×C23.34D4central extension (φ=1)64C2^2.64(C4^2:C2)128,1011
C22.65(C42⋊C2) = C2×C42⋊8C4central extension (φ=1)128C2^2.65(C4^2:C2)128,1013
C22.66(C42⋊C2) = C2×C42⋊5C4central extension (φ=1)128C2^2.66(C4^2:C2)128,1014
C22.67(C42⋊C2) = C2×C23.63C23central extension (φ=1)128C2^2.67(C4^2:C2)128,1020
C22.68(C42⋊C2) = C2×C24.C22central extension (φ=1)64C2^2.68(C4^2:C2)128,1021
C22.69(C42⋊C2) = C2×C42.12C4central extension (φ=1)64C2^2.69(C4^2:C2)128,1649
C22.70(C42⋊C2) = C2×C42.6C4central extension (φ=1)64C2^2.70(C4^2:C2)128,1650
C22.71(C42⋊C2) = C2×C42.7C22central extension (φ=1)64C2^2.71(C4^2:C2)128,1651
C22.72(C42⋊C2) = C24.5Q8central stem extension (φ=1)64C2^2.72(C4^2:C2)128,171
C22.73(C42⋊C2) = C24.52D4central stem extension (φ=1)64C2^2.73(C4^2:C2)128,172
C22.74(C42⋊C2) = C24.631C23central stem extension (φ=1)128C2^2.74(C4^2:C2)128,173
C22.75(C42⋊C2) = C24.632C23central stem extension (φ=1)128C2^2.75(C4^2:C2)128,174
C22.76(C42⋊C2) = C24.633C23central stem extension (φ=1)128C2^2.76(C4^2:C2)128,175
C22.77(C42⋊C2) = C24.635C23central stem extension (φ=1)128C2^2.77(C4^2:C2)128,177
C22.78(C42⋊C2) = C42.95D4central stem extension (φ=1)64C2^2.78(C4^2:C2)128,530
C22.79(C42⋊C2) = C24.53(C2×C4)central stem extension (φ=1)64C2^2.79(C4^2:C2)128,550
C22.80(C42⋊C2) = C42.23Q8central stem extension (φ=1)128C2^2.80(C4^2:C2)128,564
C22.81(C42⋊C2) = C42⋊4C4.C2central stem extension (φ=1)128C2^2.81(C4^2:C2)128,572
C22.82(C42⋊C2) = (C2×C8).Q8central stem extension (φ=1)128C2^2.82(C4^2:C2)128,649
C22.83(C42⋊C2) = C23.9M4(2)central stem extension (φ=1)64C2^2.83(C4^2:C2)128,656

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