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Extensions 1→N→G→Q→1 with N=C4 and Q=C32⋊7D4

Direct product G=N×Q with N=C4 and Q=C32⋊7D4
dρLabelID
C4×C32⋊7D4144C4xC3^2:7D4288,785

Semidirect products G=N:Q with N=C4 and Q=C32⋊7D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C32⋊7D4) = C62.258C23φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4:1(C3^2:7D4)288,797
C4⋊2(C32⋊7D4) = C62.256C23φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C4144C4:2(C3^2:7D4)288,795
C4⋊3(C32⋊7D4) = C62⋊19D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C4144C4:3(C3^2:7D4)288,787

Non-split extensions G=N.Q with N=C4 and Q=C32⋊7D4
extensionφ:Q→Aut NdρLabelID
C4.1(C32⋊7D4) = C32⋊7D16φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.1(C3^2:7D4)288,301
C4.2(C32⋊7D4) = C32⋊8SD32φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.2(C3^2:7D4)288,302
C4.3(C32⋊7D4) = C32⋊10SD32φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.3(C3^2:7D4)288,303
C4.4(C32⋊7D4) = C32⋊7Q32φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4288C4.4(C3^2:7D4)288,304
C4.5(C32⋊7D4) = C2×C32⋊7D8φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.5(C3^2:7D4)288,788
C4.6(C32⋊7D4) = C2×C32⋊9SD16φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.6(C3^2:7D4)288,790
C4.7(C32⋊7D4) = C62.254C23φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.7(C3^2:7D4)288,793
C4.8(C32⋊7D4) = C2×C32⋊11SD16φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.8(C3^2:7D4)288,798
C4.9(C32⋊7D4) = C2×C32⋊7Q16φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4288C4.9(C3^2:7D4)288,800
C4.10(C32⋊7D4) = C62.259C23φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4288C4.10(C3^2:7D4)288,801
C4.11(C32⋊7D4) = C62.262C23φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C4144C4.11(C3^2:7D4)288,804
C4.12(C32⋊7D4) = C62.116D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C4144C4.12(C3^2:7D4)288,307
C4.13(C32⋊7D4) = (C6×D4).S3φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C472C4.13(C3^2:7D4)288,308
C4.14(C32⋊7D4) = C62.117D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C4288C4.14(C3^2:7D4)288,310
C4.15(C32⋊7D4) = (C6×C12).C4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C4144C4.15(C3^2:7D4)288,311
C4.16(C32⋊7D4) = C62.131D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C472C4.16(C3^2:7D4)288,789
C4.17(C32⋊7D4) = C62.134D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C4144C4.17(C3^2:7D4)288,799
C4.18(C32⋊7D4) = C62.261C23φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C4144C4.18(C3^2:7D4)288,803
C4.19(C32⋊7D4) = C6.4Dic12φ: C32⋊7D4/C62 → C2 ⊆ Aut C4288C4.19(C3^2:7D4)288,291
C4.20(C32⋊7D4) = C62.84D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C4144C4.20(C3^2:7D4)288,296
C4.21(C32⋊7D4) = C12.19D12φ: C32⋊7D4/C62 → C2 ⊆ Aut C472C4.21(C3^2:7D4)288,298
C4.22(C32⋊7D4) = C12.20D12φ: C32⋊7D4/C62 → C2 ⊆ Aut C4144C4.22(C3^2:7D4)288,299
C4.23(C32⋊7D4) = C62⋊10Q8φ: C32⋊7D4/C62 → C2 ⊆ Aut C4144C4.23(C3^2:7D4)288,781
C4.24(C32⋊7D4) = C62.73D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C472C4.24(C3^2:7D4)288,806
C4.25(C32⋊7D4) = C62.75D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C4144C4.25(C3^2:7D4)288,808
C4.26(C32⋊7D4) = C12.30Dic6central extension (φ=1)288C4.26(C3^2:7D4)288,289
C4.27(C32⋊7D4) = C12.60D12central extension (φ=1)144C4.27(C3^2:7D4)288,295
C4.28(C32⋊7D4) = C62.8Q8central extension (φ=1)144C4.28(C3^2:7D4)288,297
C4.29(C32⋊7D4) = C62.37D4central extension (φ=1)72C4.29(C3^2:7D4)288,300
C4.30(C32⋊7D4) = C62⋊7C8central extension (φ=1)144C4.30(C3^2:7D4)288,305
C4.31(C32⋊7D4) = C62.39D4central extension (φ=1)72C4.31(C3^2:7D4)288,312
C4.32(C32⋊7D4) = C62.74D4central extension (φ=1)144C4.32(C3^2:7D4)288,807

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