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

Direct product G=N×Q with N=C22 and Q=C4⋊C4
dρLabelID
C22×C4⋊C464C2^2xC4:C464,194

Semidirect products G=N:Q with N=C22 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C221(C4⋊C4) = C23.7Q8φ: C4⋊C4/C2×C4C2 ⊆ Aut C2232C2^2:1(C4:C4)64,61
C222(C4⋊C4) = C23.8Q8φ: C4⋊C4/C2×C4C2 ⊆ Aut C2232C2^2:2(C4:C4)64,66

Non-split extensions G=N.Q with N=C22 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C4⋊C4) = C4.9C42φ: C4⋊C4/C2×C4C2 ⊆ Aut C22164C2^2.1(C4:C4)64,18
C22.2(C4⋊C4) = C4.10C42φ: C4⋊C4/C2×C4C2 ⊆ Aut C22164C2^2.2(C4:C4)64,19
C22.3(C4⋊C4) = C426C4φ: C4⋊C4/C2×C4C2 ⊆ Aut C2216C2^2.3(C4:C4)64,20
C22.4(C4⋊C4) = C23.9D4φ: C4⋊C4/C2×C4C2 ⊆ Aut C2216C2^2.4(C4:C4)64,23
C22.5(C4⋊C4) = C22.C42φ: C4⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.5(C4:C4)64,24
C22.6(C4⋊C4) = M4(2)⋊4C4φ: C4⋊C4/C2×C4C2 ⊆ Aut C22164C2^2.6(C4:C4)64,25
C22.7(C4⋊C4) = C4⋊M4(2)φ: C4⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.7(C4:C4)64,104
C22.8(C4⋊C4) = C42.6C22φ: C4⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.8(C4:C4)64,105
C22.9(C4⋊C4) = C23.25D4φ: C4⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.9(C4:C4)64,108
C22.10(C4⋊C4) = M4(2)⋊C4φ: C4⋊C4/C2×C4C2 ⊆ Aut C2232C2^2.10(C4:C4)64,109
C22.11(C4⋊C4) = M4(2).C4φ: C4⋊C4/C2×C4C2 ⊆ Aut C22164C2^2.11(C4:C4)64,111
C22.12(C4⋊C4) = C82C8central extension (φ=1)64C2^2.12(C4:C4)64,15
C22.13(C4⋊C4) = C81C8central extension (φ=1)64C2^2.13(C4:C4)64,16
C22.14(C4⋊C4) = C22.7C42central extension (φ=1)64C2^2.14(C4:C4)64,17
C22.15(C4⋊C4) = C22.4Q16central extension (φ=1)64C2^2.15(C4:C4)64,21
C22.16(C4⋊C4) = C4.C42central extension (φ=1)32C2^2.16(C4:C4)64,22
C22.17(C4⋊C4) = C2×C2.C42central extension (φ=1)64C2^2.17(C4:C4)64,56
C22.18(C4⋊C4) = C2×C4⋊C8central extension (φ=1)64C2^2.18(C4:C4)64,103
C22.19(C4⋊C4) = C2×C4.Q8central extension (φ=1)64C2^2.19(C4:C4)64,106
C22.20(C4⋊C4) = C2×C2.D8central extension (φ=1)64C2^2.20(C4:C4)64,107
C22.21(C4⋊C4) = C2×C8.C4central extension (φ=1)32C2^2.21(C4:C4)64,110

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