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Extensions 1→N→G→Q→1 with N=C4 and Q=C11⋊D4

Direct product G=N×Q with N=C4 and Q=C11⋊D4
dρLabelID
C4×C11⋊D4176C4xC11:D4352,123

Semidirect products G=N:Q with N=C4 and Q=C11⋊D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C11⋊D4) = C44⋊D4φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4176C4:1(C11:D4)352,135
C4⋊2(C11⋊D4) = C44⋊2D4φ: C11⋊D4/D22 → C2 ⊆ Aut C4176C4:2(C11:D4)352,133
C4⋊3(C11⋊D4) = C44⋊7D4φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C4176C4:3(C11:D4)352,125

Non-split extensions G=N.Q with N=C4 and Q=C11⋊D4
extensionφ:Q→Aut NdρLabelID
C4.1(C11⋊D4) = C11⋊D16φ: C11⋊D4/Dic11 → C2 ⊆ Aut C41764+C4.1(C11:D4)352,32
C4.2(C11⋊D4) = D8.D11φ: C11⋊D4/Dic11 → C2 ⊆ Aut C41764-C4.2(C11:D4)352,33
C4.3(C11⋊D4) = C8.6D22φ: C11⋊D4/Dic11 → C2 ⊆ Aut C41764+C4.3(C11:D4)352,34
C4.4(C11⋊D4) = C11⋊Q32φ: C11⋊D4/Dic11 → C2 ⊆ Aut C43524-C4.4(C11:D4)352,35
C4.5(C11⋊D4) = C2×D4⋊D11φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4176C4.5(C11:D4)352,126
C4.6(C11⋊D4) = C2×D4.D11φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4176C4.6(C11:D4)352,128
C4.7(C11⋊D4) = C44.17D4φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4176C4.7(C11:D4)352,131
C4.8(C11⋊D4) = C2×Q8⋊D11φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4176C4.8(C11:D4)352,136
C4.9(C11⋊D4) = C2×C11⋊Q16φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4352C4.9(C11:D4)352,138
C4.10(C11⋊D4) = Dic11⋊Q8φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4352C4.10(C11:D4)352,139
C4.11(C11⋊D4) = C44.23D4φ: C11⋊D4/Dic11 → C2 ⊆ Aut C4176C4.11(C11:D4)352,142
C4.12(C11⋊D4) = D4⋊Dic11φ: C11⋊D4/D22 → C2 ⊆ Aut C4176C4.12(C11:D4)352,38
C4.13(C11⋊D4) = C44.D4φ: C11⋊D4/D22 → C2 ⊆ Aut C4884C4.13(C11:D4)352,39
C4.14(C11⋊D4) = Q8⋊Dic11φ: C11⋊D4/D22 → C2 ⊆ Aut C4352C4.14(C11:D4)352,41
C4.15(C11⋊D4) = C44.10D4φ: C11⋊D4/D22 → C2 ⊆ Aut C41764C4.15(C11:D4)352,42
C4.16(C11⋊D4) = D44⋊6C22φ: C11⋊D4/D22 → C2 ⊆ Aut C4884C4.16(C11:D4)352,127
C4.17(C11⋊D4) = C44.C23φ: C11⋊D4/D22 → C2 ⊆ Aut C41764C4.17(C11:D4)352,137
C4.18(C11⋊D4) = D22⋊3Q8φ: C11⋊D4/D22 → C2 ⊆ Aut C4176C4.18(C11:D4)352,141
C4.19(C11⋊D4) = C44.44D4φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C4352C4.19(C11:D4)352,22
C4.20(C11⋊D4) = C2.D88φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C4176C4.20(C11:D4)352,27
C4.21(C11⋊D4) = C44.46D4φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C4884+C4.21(C11:D4)352,29
C4.22(C11⋊D4) = C44.47D4φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C41764-C4.22(C11:D4)352,30
C4.23(C11⋊D4) = C44.48D4φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C4176C4.23(C11:D4)352,119
C4.24(C11⋊D4) = Q8⋊D22φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C4884+C4.24(C11:D4)352,144
C4.25(C11⋊D4) = D4.9D22φ: C11⋊D4/C2×C22 → C2 ⊆ Aut C41764-C4.25(C11:D4)352,146
C4.26(C11⋊D4) = Dic11⋊C8central extension (φ=1)352C4.26(C11:D4)352,20
C4.27(C11⋊D4) = D22⋊C8central extension (φ=1)176C4.27(C11:D4)352,26
C4.28(C11⋊D4) = C44.53D4central extension (φ=1)1764C4.28(C11:D4)352,28
C4.29(C11⋊D4) = D44⋊4C4central extension (φ=1)884C4.29(C11:D4)352,31
C4.30(C11⋊D4) = C44.55D4central extension (φ=1)176C4.30(C11:D4)352,36
C4.31(C11⋊D4) = C44.56D4central extension (φ=1)884C4.31(C11:D4)352,43
C4.32(C11⋊D4) = D4.8D22central extension (φ=1)1764C4.32(C11:D4)352,145

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