# Extensions 1→N→G→Q→1 with N=C4 and Q=S3×D7

Direct product G=N×Q with N=C4 and Q=S3×D7
dρLabelID
C4×S3×D7844C4xS3xD7336,147

Semidirect products G=N:Q with N=C4 and Q=S3×D7
extensionφ:Q→Aut NdρLabelID
C41(S3×D7) = S3×D28φ: S3×D7/S3×C7C2 ⊆ Aut C4844+C4:1(S3xD7)336,149
C42(S3×D7) = D7×D12φ: S3×D7/C3×D7C2 ⊆ Aut C4844+C4:2(S3xD7)336,148
C43(S3×D7) = C28⋊D6φ: S3×D7/D21C2 ⊆ Aut C4844C4:3(S3xD7)336,150

Non-split extensions G=N.Q with N=C4 and Q=S3×D7
extensionφ:Q→Aut NdρLabelID
C4.1(S3×D7) = C3⋊D56φ: S3×D7/S3×C7C2 ⊆ Aut C41684+C4.1(S3xD7)336,30
C4.2(S3×D7) = C6.D28φ: S3×D7/S3×C7C2 ⊆ Aut C41684-C4.2(S3xD7)336,34
C4.3(S3×D7) = C21⋊SD16φ: S3×D7/S3×C7C2 ⊆ Aut C41684+C4.3(S3xD7)336,35
C4.4(S3×D7) = C3⋊Dic28φ: S3×D7/S3×C7C2 ⊆ Aut C43364-C4.4(S3xD7)336,39
C4.5(S3×D7) = D285S3φ: S3×D7/S3×C7C2 ⊆ Aut C41684-C4.5(S3xD7)336,138
C4.6(S3×D7) = S3×Dic14φ: S3×D7/S3×C7C2 ⊆ Aut C41684-C4.6(S3xD7)336,140
C4.7(S3×D7) = D84⋊C2φ: S3×D7/S3×C7C2 ⊆ Aut C41684+C4.7(S3xD7)336,142
C4.8(S3×D7) = C7⋊D24φ: S3×D7/C3×D7C2 ⊆ Aut C41684+C4.8(S3xD7)336,31
C4.9(S3×D7) = D12.D7φ: S3×D7/C3×D7C2 ⊆ Aut C41684-C4.9(S3xD7)336,36
C4.10(S3×D7) = Dic6⋊D7φ: S3×D7/C3×D7C2 ⊆ Aut C41684+C4.10(S3xD7)336,37
C4.11(S3×D7) = C7⋊Dic12φ: S3×D7/C3×D7C2 ⊆ Aut C43364-C4.11(S3xD7)336,40
C4.12(S3×D7) = D7×Dic6φ: S3×D7/C3×D7C2 ⊆ Aut C41684-C4.12(S3xD7)336,137
C4.13(S3×D7) = D125D7φ: S3×D7/C3×D7C2 ⊆ Aut C41684-C4.13(S3xD7)336,145
C4.14(S3×D7) = D14.D6φ: S3×D7/C3×D7C2 ⊆ Aut C41684+C4.14(S3xD7)336,146
C4.15(S3×D7) = C21⋊D8φ: S3×D7/D21C2 ⊆ Aut C41684C4.15(S3xD7)336,29
C4.16(S3×D7) = C28.D6φ: S3×D7/D21C2 ⊆ Aut C41684C4.16(S3xD7)336,32
C4.17(S3×D7) = C42.D4φ: S3×D7/D21C2 ⊆ Aut C41684C4.17(S3xD7)336,33
C4.18(S3×D7) = C21⋊Q16φ: S3×D7/D21C2 ⊆ Aut C43364C4.18(S3xD7)336,38
C4.19(S3×D7) = D28⋊S3φ: S3×D7/D21C2 ⊆ Aut C41684C4.19(S3xD7)336,139
C4.20(S3×D7) = D12⋊D7φ: S3×D7/D21C2 ⊆ Aut C41684C4.20(S3xD7)336,141
C4.21(S3×D7) = D21⋊Q8φ: S3×D7/D21C2 ⊆ Aut C41684C4.21(S3xD7)336,143
C4.22(S3×D7) = D7×C3⋊C8central extension (φ=1)1684C4.22(S3xD7)336,23
C4.23(S3×D7) = S3×C7⋊C8central extension (φ=1)1684C4.23(S3xD7)336,24
C4.24(S3×D7) = D21⋊C8central extension (φ=1)1684C4.24(S3xD7)336,25
C4.25(S3×D7) = C28.32D6central extension (φ=1)1684C4.25(S3xD7)336,26
C4.26(S3×D7) = D6.Dic7central extension (φ=1)1684C4.26(S3xD7)336,27
C4.27(S3×D7) = D42.C4central extension (φ=1)1684C4.27(S3xD7)336,28
C4.28(S3×D7) = D6.D14central extension (φ=1)1684C4.28(S3xD7)336,144

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