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Extensions 1→N→G→Q→1 with N=C22 and Q=C11⋊D4

Direct product G=N×Q with N=C22 and Q=C11⋊D4
dρLabelID
C22×C11⋊D4176C2^2xC11:D4352,187

Semidirect products G=N:Q with N=C22 and Q=C11⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C11⋊D4) = Dic11⋊D4φ: C11⋊D4/Dic11 → C2 ⊆ Aut C22176C2^2:1(C11:D4)352,134
C22⋊2(C11⋊D4) = C23⋊D22φ: C11⋊D4/D22 → C2 ⊆ Aut C2288C2^2:2(C11:D4)352,132
C22⋊3(C11⋊D4) = C24⋊D11φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C2288C2^2:3(C11:D4)352,148

Non-split extensions G=N.Q with N=C22 and Q=C11⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C11⋊D4) = D4.8D22φ: C11⋊D4/Dic11 → C2 ⊆ Aut C221764C2^2.1(C11:D4)352,145
C22.2(C11⋊D4) = C23⋊Dic11φ: C11⋊D4/D22 → C2 ⊆ Aut C22884C2^2.2(C11:D4)352,40
C22.3(C11⋊D4) = C44.56D4φ: C11⋊D4/D22 → C2 ⊆ Aut C22884C2^2.3(C11:D4)352,43
C22.4(C11⋊D4) = C23.18D22φ: C11⋊D4/D22 → C2 ⊆ Aut C22176C2^2.4(C11:D4)352,130
C22.5(C11⋊D4) = Q8⋊D22φ: C11⋊D4/D22 → C2 ⊆ Aut C22884+C2^2.5(C11:D4)352,144
C22.6(C11⋊D4) = D4.9D22φ: C11⋊D4/D22 → C2 ⊆ Aut C221764-C2^2.6(C11:D4)352,146
C22.7(C11⋊D4) = D44⋊1C4φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C22882C2^2.7(C11:D4)352,11
C22.8(C11⋊D4) = C22.2D44φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C22884C2^2.8(C11:D4)352,12
C22.9(C11⋊D4) = C23.23D22φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C22176C2^2.9(C11:D4)352,124
C22.10(C11⋊D4) = D44⋊6C22φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C22884C2^2.10(C11:D4)352,127
C22.11(C11⋊D4) = C44.C23φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C221764C2^2.11(C11:D4)352,137
C22.12(C11⋊D4) = C44.Q8central extension (φ=1)352C2^2.12(C11:D4)352,13
C22.13(C11⋊D4) = C4.Dic22central extension (φ=1)352C2^2.13(C11:D4)352,14
C22.14(C11⋊D4) = C22.D8central extension (φ=1)176C2^2.14(C11:D4)352,15
C22.15(C11⋊D4) = C22.Q16central extension (φ=1)352C2^2.15(C11:D4)352,16
C22.16(C11⋊D4) = C22.C42central extension (φ=1)352C2^2.16(C11:D4)352,37
C22.17(C11⋊D4) = D4⋊Dic11central extension (φ=1)176C2^2.17(C11:D4)352,38
C22.18(C11⋊D4) = Q8⋊Dic11central extension (φ=1)352C2^2.18(C11:D4)352,41
C22.19(C11⋊D4) = C2×Dic11⋊C4central extension (φ=1)352C2^2.19(C11:D4)352,118
C22.20(C11⋊D4) = C2×D22⋊C4central extension (φ=1)176C2^2.20(C11:D4)352,122
C22.21(C11⋊D4) = C2×D4⋊D11central extension (φ=1)176C2^2.21(C11:D4)352,126
C22.22(C11⋊D4) = C2×D4.D11central extension (φ=1)176C2^2.22(C11:D4)352,128
C22.23(C11⋊D4) = C2×Q8⋊D11central extension (φ=1)176C2^2.23(C11:D4)352,136
C22.24(C11⋊D4) = C2×C11⋊Q16central extension (φ=1)352C2^2.24(C11:D4)352,138
C22.25(C11⋊D4) = C2×C23.D11central extension (φ=1)176C2^2.25(C11:D4)352,147

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