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

Direct product G=N×Q with N=C22 and Q=C22⋊C4
dρLabelID
C22×C22⋊C432C2^2xC2^2:C464,193

Semidirect products G=N:Q with N=C22 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C221(C22⋊C4) = C23.23D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2232C2^2:1(C2^2:C4)64,67
C222(C22⋊C4) = C243C4φ: C22⋊C4/C23C2 ⊆ Aut C2216C2^2:2(C2^2:C4)64,60

Non-split extensions G=N.Q with N=C22 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C22⋊C4) = (C22×C8)⋊C2φ: C22⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.1(C2^2:C4)64,89
C22.2(C22⋊C4) = M4(2).8C22φ: C22⋊C4/C2×C4C2 ⊆ Aut C22164C2^2.2(C2^2:C4)64,94
C22.3(C22⋊C4) = C23.24D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.3(C2^2:C4)64,97
C22.4(C22⋊C4) = C23.36D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.4(C2^2:C4)64,98
C22.5(C22⋊C4) = C42⋊C22φ: C22⋊C4/C2×C4C2 ⊆ Aut C22164C2^2.5(C2^2:C4)64,102
C22.6(C22⋊C4) = C4.9C42φ: C22⋊C4/C23C2 ⊆ Aut C22164C2^2.6(C2^2:C4)64,18
C22.7(C22⋊C4) = C23.9D4φ: C22⋊C4/C23C2 ⊆ Aut C2216C2^2.7(C2^2:C4)64,23
C22.8(C22⋊C4) = M4(2)⋊4C4φ: C22⋊C4/C23C2 ⊆ Aut C22164C2^2.8(C2^2:C4)64,25
C22.9(C22⋊C4) = C2≀C4φ: C22⋊C4/C23C2 ⊆ Aut C2284+C2^2.9(C2^2:C4)64,32
C22.10(C22⋊C4) = C23.D4φ: C22⋊C4/C23C2 ⊆ Aut C22164C2^2.10(C2^2:C4)64,33
C22.11(C22⋊C4) = C42⋊C4φ: C22⋊C4/C23C2 ⊆ Aut C2284+C2^2.11(C2^2:C4)64,34
C22.12(C22⋊C4) = C423C4φ: C22⋊C4/C23C2 ⊆ Aut C22164C2^2.12(C2^2:C4)64,35
C22.13(C22⋊C4) = C42.C4φ: C22⋊C4/C23C2 ⊆ Aut C22164C2^2.13(C2^2:C4)64,36
C22.14(C22⋊C4) = C42.3C4φ: C22⋊C4/C23C2 ⊆ Aut C22164-C2^2.14(C2^2:C4)64,37
C22.15(C22⋊C4) = C23.34D4φ: C22⋊C4/C23C2 ⊆ Aut C2232C2^2.15(C2^2:C4)64,62
C22.16(C22⋊C4) = C24.4C4φ: C22⋊C4/C23C2 ⊆ Aut C2216C2^2.16(C2^2:C4)64,88
C22.17(C22⋊C4) = C23.37D4φ: C22⋊C4/C23C2 ⊆ Aut C2216C2^2.17(C2^2:C4)64,99
C22.18(C22⋊C4) = C23.38D4φ: C22⋊C4/C23C2 ⊆ Aut C2232C2^2.18(C2^2:C4)64,100
C22.19(C22⋊C4) = C23⋊C8central extension (φ=1)16C2^2.19(C2^2:C4)64,4
C22.20(C22⋊C4) = C22.M4(2)central extension (φ=1)32C2^2.20(C2^2:C4)64,5
C22.21(C22⋊C4) = D4⋊C8central extension (φ=1)32C2^2.21(C2^2:C4)64,6
C22.22(C22⋊C4) = Q8⋊C8central extension (φ=1)64C2^2.22(C2^2:C4)64,7
C22.23(C22⋊C4) = C22.7C42central extension (φ=1)64C2^2.23(C2^2:C4)64,17
C22.24(C22⋊C4) = C426C4central extension (φ=1)16C2^2.24(C2^2:C4)64,20
C22.25(C22⋊C4) = C22.4Q16central extension (φ=1)64C2^2.25(C2^2:C4)64,21
C22.26(C22⋊C4) = C22.C42central extension (φ=1)32C2^2.26(C2^2:C4)64,24
C22.27(C22⋊C4) = C2×C2.C42central extension (φ=1)64C2^2.27(C2^2:C4)64,56
C22.28(C22⋊C4) = C2×C22⋊C8central extension (φ=1)32C2^2.28(C2^2:C4)64,87
C22.29(C22⋊C4) = C2×C23⋊C4central extension (φ=1)16C2^2.29(C2^2:C4)64,90
C22.30(C22⋊C4) = C2×C4.D4central extension (φ=1)16C2^2.30(C2^2:C4)64,92
C22.31(C22⋊C4) = C2×C4.10D4central extension (φ=1)32C2^2.31(C2^2:C4)64,93
C22.32(C22⋊C4) = C2×D4⋊C4central extension (φ=1)32C2^2.32(C2^2:C4)64,95
C22.33(C22⋊C4) = C2×Q8⋊C4central extension (φ=1)64C2^2.33(C2^2:C4)64,96
C22.34(C22⋊C4) = C2×C4≀C2central extension (φ=1)16C2^2.34(C2^2:C4)64,101
C22.35(C22⋊C4) = C22.SD16central stem extension (φ=1)16C2^2.35(C2^2:C4)64,8
C22.36(C22⋊C4) = C23.31D4central stem extension (φ=1)16C2^2.36(C2^2:C4)64,9
C22.37(C22⋊C4) = C42.C22central stem extension (φ=1)32C2^2.37(C2^2:C4)64,10
C22.38(C22⋊C4) = C42.2C22central stem extension (φ=1)64C2^2.38(C2^2:C4)64,11
C22.39(C22⋊C4) = C4.D8central stem extension (φ=1)32C2^2.39(C2^2:C4)64,12
C22.40(C22⋊C4) = C4.10D8central stem extension (φ=1)64C2^2.40(C2^2:C4)64,13
C22.41(C22⋊C4) = C4.6Q16central stem extension (φ=1)64C2^2.41(C2^2:C4)64,14

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