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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
C4⋊C4×C22352C4:C4xC22352,151

Semidirect products G=N:Q with N=C22 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4⋊C4) = C2×Dic11⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22:1(C4:C4)352,118
C22⋊2(C4⋊C4) = C2×C44⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22:2(C4:C4)352,120

Non-split extensions G=N.Q with N=C22 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C4⋊C4) = C44⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.1(C4:C4)352,10
C22.2(C4⋊C4) = C44.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.2(C4:C4)352,13
C22.3(C4⋊C4) = C4.Dic22φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.3(C4:C4)352,14
C22.4(C4⋊C4) = Dic11⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.4(C4:C4)352,20
C22.5(C4⋊C4) = C44.4Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.5(C4:C4)352,23
C22.6(C4⋊C4) = C44.5Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.6(C4:C4)352,24
C22.7(C4⋊C4) = C88.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C221762C22.7(C4:C4)352,25
C22.8(C4⋊C4) = C44.53D4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C221764C22.8(C4:C4)352,28
C22.9(C4⋊C4) = C22.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.9(C4:C4)352,37
C22.10(C4⋊C4) = C11×C2.C42central extension (φ=1)352C22.10(C4:C4)352,44
C22.11(C4⋊C4) = C11×C4⋊C8central extension (φ=1)352C22.11(C4:C4)352,54
C22.12(C4⋊C4) = C11×C4.Q8central extension (φ=1)352C22.12(C4:C4)352,55
C22.13(C4⋊C4) = C11×C2.D8central extension (φ=1)352C22.13(C4:C4)352,56
C22.14(C4⋊C4) = C11×C8.C4central extension (φ=1)1762C22.14(C4:C4)352,57

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