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

Direct product G=N×Q with N=C22 and Q=C4○D4
dρLabelID
C22×C4○D432C2^2xC4oD464,263

Semidirect products G=N:Q with N=C22 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4○D4) = C22.19C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2216C2^2:1(C4oD4)64,206
C22⋊2(C4○D4) = D4⋊5D4φ: C4○D4/D4 → C2 ⊆ Aut C2216C2^2:2(C4oD4)64,227
C22⋊3(C4○D4) = Q8⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C2232C2^2:3(C4oD4)64,229

Non-split extensions G=N.Q with N=C22 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C22.1(C4○D4) = C8○D8φ: C4○D4/C2×C4 → C2 ⊆ Aut C22162C2^2.1(C4oD4)64,124
C22.2(C4○D4) = C8.26D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22164C2^2.2(C4oD4)64,125
C22.3(C4○D4) = C23.36C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2232C2^2.3(C4oD4)64,210
C22.4(C4○D4) = C22.32C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2216C2^2.4(C4oD4)64,219
C22.5(C4○D4) = C22.33C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2232C2^2.5(C4oD4)64,220
C22.6(C4○D4) = D4.3D4φ: C4○D4/D4 → C2 ⊆ Aut C22164C2^2.6(C4oD4)64,152
C22.7(C4○D4) = D4.4D4φ: C4○D4/D4 → C2 ⊆ Aut C22164+C2^2.7(C4oD4)64,153
C22.8(C4○D4) = D4.5D4φ: C4○D4/D4 → C2 ⊆ Aut C22324-C2^2.8(C4oD4)64,154
C22.9(C4○D4) = C22.45C24φ: C4○D4/D4 → C2 ⊆ Aut C2216C2^2.9(C4oD4)64,232
C22.10(C4○D4) = C22.46C24φ: C4○D4/D4 → C2 ⊆ Aut C2232C2^2.10(C4oD4)64,233
C22.11(C4○D4) = C22.47C24φ: C4○D4/Q8 → C2 ⊆ Aut C2232C2^2.11(C4oD4)64,234
C22.12(C4○D4) = C42⋊4C4central extension (φ=1)64C2^2.12(C4oD4)64,57
C22.13(C4○D4) = C4×C22⋊C4central extension (φ=1)32C2^2.13(C4oD4)64,58
C22.14(C4○D4) = C4×C4⋊C4central extension (φ=1)64C2^2.14(C4oD4)64,59
C22.15(C4○D4) = C23.7Q8central extension (φ=1)32C2^2.15(C4oD4)64,61
C22.16(C4○D4) = C23.34D4central extension (φ=1)32C2^2.16(C4oD4)64,62
C22.17(C4○D4) = C42⋊8C4central extension (φ=1)64C2^2.17(C4oD4)64,63
C22.18(C4○D4) = C42⋊5C4central extension (φ=1)64C2^2.18(C4oD4)64,64
C22.19(C4○D4) = C23.8Q8central extension (φ=1)32C2^2.19(C4oD4)64,66
C22.20(C4○D4) = C23.23D4central extension (φ=1)32C2^2.20(C4oD4)64,67
C22.21(C4○D4) = C23.63C23central extension (φ=1)64C2^2.21(C4oD4)64,68
C22.22(C4○D4) = C24.C22central extension (φ=1)32C2^2.22(C4oD4)64,69
C22.23(C4○D4) = C23.65C23central extension (φ=1)64C2^2.23(C4oD4)64,70
C22.24(C4○D4) = C24.3C22central extension (φ=1)32C2^2.24(C4oD4)64,71
C22.25(C4○D4) = C23.67C23central extension (φ=1)64C2^2.25(C4oD4)64,72
C22.26(C4○D4) = C2×C42⋊C2central extension (φ=1)32C2^2.26(C4oD4)64,195
C22.27(C4○D4) = C2×C4×D4central extension (φ=1)32C2^2.27(C4oD4)64,196
C22.28(C4○D4) = C2×C4×Q8central extension (φ=1)64C2^2.28(C4oD4)64,197
C22.29(C4○D4) = C2×C4⋊D4central extension (φ=1)32C2^2.29(C4oD4)64,203
C22.30(C4○D4) = C2×C22⋊Q8central extension (φ=1)32C2^2.30(C4oD4)64,204
C22.31(C4○D4) = C2×C22.D4central extension (φ=1)32C2^2.31(C4oD4)64,205
C22.32(C4○D4) = C2×C4.4D4central extension (φ=1)32C2^2.32(C4oD4)64,207
C22.33(C4○D4) = C2×C42.C2central extension (φ=1)64C2^2.33(C4oD4)64,208
C22.34(C4○D4) = C2×C42⋊2C2central extension (φ=1)32C2^2.34(C4oD4)64,209
C22.35(C4○D4) = C23⋊2D4central stem extension (φ=1)32C2^2.35(C4oD4)64,73
C22.36(C4○D4) = C23⋊Q8central stem extension (φ=1)32C2^2.36(C4oD4)64,74
C22.37(C4○D4) = C23.10D4central stem extension (φ=1)32C2^2.37(C4oD4)64,75
C22.38(C4○D4) = C23.78C23central stem extension (φ=1)64C2^2.38(C4oD4)64,76
C22.39(C4○D4) = C23.Q8central stem extension (φ=1)32C2^2.39(C4oD4)64,77
C22.40(C4○D4) = C23.11D4central stem extension (φ=1)32C2^2.40(C4oD4)64,78
C22.41(C4○D4) = C23.81C23central stem extension (φ=1)64C2^2.41(C4oD4)64,79
C22.42(C4○D4) = C23.4Q8central stem extension (φ=1)32C2^2.42(C4oD4)64,80
C22.43(C4○D4) = C23.83C23central stem extension (φ=1)64C2^2.43(C4oD4)64,81
C22.44(C4○D4) = C23.84C23central stem extension (φ=1)64C2^2.44(C4oD4)64,82

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