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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⋊C4×C22176C2^2:C4xC22352,150

Semidirect products G=N:Q with N=C22 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C22⋊C4) = C2×D22⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22176C22:1(C2^2:C4)352,122
C22⋊2(C22⋊C4) = C2×C23.D11φ: C22⋊C4/C23 → C2 ⊆ Aut C22176C22:2(C2^2:C4)352,147

Non-split extensions G=N.Q with N=C22 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C22⋊C4) = D44⋊1C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22882C22.1(C2^2:C4)352,11
C22.2(C22⋊C4) = C22.2D44φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22884C22.2(C2^2:C4)352,12
C22.3(C22⋊C4) = C22.D8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22176C22.3(C2^2:C4)352,15
C22.4(C22⋊C4) = C22.Q16φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.4(C2^2:C4)352,16
C22.5(C22⋊C4) = C44.44D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.5(C2^2:C4)352,22
C22.6(C22⋊C4) = D22⋊C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22176C22.6(C2^2:C4)352,26
C22.7(C22⋊C4) = C2.D88φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22176C22.7(C2^2:C4)352,27
C22.8(C22⋊C4) = C44.46D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22884+C22.8(C2^2:C4)352,29
C22.9(C22⋊C4) = C44.47D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C221764-C22.9(C2^2:C4)352,30
C22.10(C22⋊C4) = D44⋊4C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22884C22.10(C2^2:C4)352,31
C22.11(C22⋊C4) = C22.C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22352C22.11(C2^2:C4)352,37
C22.12(C22⋊C4) = C44.55D4φ: C22⋊C4/C23 → C2 ⊆ Aut C22176C22.12(C2^2:C4)352,36
C22.13(C22⋊C4) = D4⋊Dic11φ: C22⋊C4/C23 → C2 ⊆ Aut C22176C22.13(C2^2:C4)352,38
C22.14(C22⋊C4) = C44.D4φ: C22⋊C4/C23 → C2 ⊆ Aut C22884C22.14(C2^2:C4)352,39
C22.15(C22⋊C4) = C23⋊Dic11φ: C22⋊C4/C23 → C2 ⊆ Aut C22884C22.15(C2^2:C4)352,40
C22.16(C22⋊C4) = Q8⋊Dic11φ: C22⋊C4/C23 → C2 ⊆ Aut C22352C22.16(C2^2:C4)352,41
C22.17(C22⋊C4) = C44.10D4φ: C22⋊C4/C23 → C2 ⊆ Aut C221764C22.17(C2^2:C4)352,42
C22.18(C22⋊C4) = C44.56D4φ: C22⋊C4/C23 → C2 ⊆ Aut C22884C22.18(C2^2:C4)352,43
C22.19(C22⋊C4) = C11×C2.C42central extension (φ=1)352C22.19(C2^2:C4)352,44
C22.20(C22⋊C4) = C11×C22⋊C8central extension (φ=1)176C22.20(C2^2:C4)352,47
C22.21(C22⋊C4) = C11×C23⋊C4central extension (φ=1)884C22.21(C2^2:C4)352,48
C22.22(C22⋊C4) = C11×C4.D4central extension (φ=1)884C22.22(C2^2:C4)352,49
C22.23(C22⋊C4) = C11×C4.10D4central extension (φ=1)1764C22.23(C2^2:C4)352,50
C22.24(C22⋊C4) = C11×D4⋊C4central extension (φ=1)176C22.24(C2^2:C4)352,51
C22.25(C22⋊C4) = C11×Q8⋊C4central extension (φ=1)352C22.25(C2^2:C4)352,52
C22.26(C22⋊C4) = C11×C4≀C2central extension (φ=1)882C22.26(C2^2:C4)352,53

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