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

Direct product G=N×Q with N=C4 and Q=C22×C4
dρLabelID
C22×C4264C2^2xC4^264,192

Semidirect products G=N:Q with N=C4 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C41(C22×C4) = C2×C4×D4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4:1(C2^2xC4)64,196
C42(C22×C4) = C22×C4⋊C4φ: C22×C4/C23C2 ⊆ Aut C464C4:2(C2^2xC4)64,194

Non-split extensions G=N.Q with N=C4 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C4.1(C22×C4) = C2×D4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.1(C2^2xC4)64,95
C4.2(C22×C4) = C2×Q8⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C464C4.2(C2^2xC4)64,96
C4.3(C22×C4) = C23.24D4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.3(C2^2xC4)64,97
C4.4(C22×C4) = C23.36D4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.4(C2^2xC4)64,98
C4.5(C22×C4) = C23.37D4φ: C22×C4/C2×C4C2 ⊆ Aut C416C4.5(C2^2xC4)64,99
C4.6(C22×C4) = C23.38D4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.6(C2^2xC4)64,100
C4.7(C22×C4) = C2×C4≀C2φ: C22×C4/C2×C4C2 ⊆ Aut C416C4.7(C2^2xC4)64,101
C4.8(C22×C4) = C42⋊C22φ: C22×C4/C2×C4C2 ⊆ Aut C4164C4.8(C2^2xC4)64,102
C4.9(C22×C4) = C4×D8φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.9(C2^2xC4)64,118
C4.10(C22×C4) = C4×SD16φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.10(C2^2xC4)64,119
C4.11(C22×C4) = C4×Q16φ: C22×C4/C2×C4C2 ⊆ Aut C464C4.11(C2^2xC4)64,120
C4.12(C22×C4) = SD16⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.12(C2^2xC4)64,121
C4.13(C22×C4) = Q16⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C464C4.13(C2^2xC4)64,122
C4.14(C22×C4) = D8⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.14(C2^2xC4)64,123
C4.15(C22×C4) = C8○D8φ: C22×C4/C2×C4C2 ⊆ Aut C4162C4.15(C2^2xC4)64,124
C4.16(C22×C4) = C8.26D4φ: C22×C4/C2×C4C2 ⊆ Aut C4164C4.16(C2^2xC4)64,125
C4.17(C22×C4) = C2×C4×Q8φ: C22×C4/C2×C4C2 ⊆ Aut C464C4.17(C2^2xC4)64,197
C4.18(C22×C4) = C4×C4○D4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.18(C2^2xC4)64,198
C4.19(C22×C4) = C22.11C24φ: C22×C4/C2×C4C2 ⊆ Aut C416C4.19(C2^2xC4)64,199
C4.20(C22×C4) = C23.32C23φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.20(C2^2xC4)64,200
C4.21(C22×C4) = C23.33C23φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.21(C2^2xC4)64,201
C4.22(C22×C4) = C2×C8○D4φ: C22×C4/C2×C4C2 ⊆ Aut C432C4.22(C2^2xC4)64,248
C4.23(C22×C4) = Q8○M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C4164C4.23(C2^2xC4)64,249
C4.24(C22×C4) = C2×C4.Q8φ: C22×C4/C23C2 ⊆ Aut C464C4.24(C2^2xC4)64,106
C4.25(C22×C4) = C2×C2.D8φ: C22×C4/C23C2 ⊆ Aut C464C4.25(C2^2xC4)64,107
C4.26(C22×C4) = C23.25D4φ: C22×C4/C23C2 ⊆ Aut C432C4.26(C2^2xC4)64,108
C4.27(C22×C4) = M4(2)⋊C4φ: C22×C4/C23C2 ⊆ Aut C432C4.27(C2^2xC4)64,109
C4.28(C22×C4) = C2×C8.C4φ: C22×C4/C23C2 ⊆ Aut C432C4.28(C2^2xC4)64,110
C4.29(C22×C4) = M4(2).C4φ: C22×C4/C23C2 ⊆ Aut C4164C4.29(C2^2xC4)64,111
C4.30(C22×C4) = C2×C42⋊C2φ: C22×C4/C23C2 ⊆ Aut C432C4.30(C2^2xC4)64,195
C4.31(C22×C4) = C22×M4(2)φ: C22×C4/C23C2 ⊆ Aut C432C4.31(C2^2xC4)64,247
C4.32(C22×C4) = C2×C8⋊C4central extension (φ=1)64C4.32(C2^2xC4)64,84
C4.33(C22×C4) = C4×M4(2)central extension (φ=1)32C4.33(C2^2xC4)64,85
C4.34(C22×C4) = C82M4(2)central extension (φ=1)32C4.34(C2^2xC4)64,86
C4.35(C22×C4) = C2×M5(2)central extension (φ=1)32C4.35(C2^2xC4)64,184
C4.36(C22×C4) = D4○C16central extension (φ=1)322C4.36(C2^2xC4)64,185

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