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Extensions 1→N→G→Q→1 with N=C6 and Q=C7:D4

Direct product G=NxQ with N=C6 and Q=C7:D4
dρLabelID
C6xC7:D4168C6xC7:D4336,183

Semidirect products G=N:Q with N=C6 and Q=C7:D4
extensionφ:Q→Aut NdρLabelID
C6:1(C7:D4) = C2xC7:D12φ: C7:D4/Dic7 → C2 ⊆ Aut C6168C6:1(C7:D4)336,159
C6:2(C7:D4) = C2xC21:D4φ: C7:D4/D14 → C2 ⊆ Aut C6168C6:2(C7:D4)336,157
C6:3(C7:D4) = C2xC21:7D4φ: C7:D4/C2xC14 → C2 ⊆ Aut C6168C6:3(C7:D4)336,203

Non-split extensions G=N.Q with N=C6 and Q=C7:D4
extensionφ:Q→Aut NdρLabelID
C6.1(C7:D4) = C7:D24φ: C7:D4/Dic7 → C2 ⊆ Aut C61684+C6.1(C7:D4)336,31
C6.2(C7:D4) = D12.D7φ: C7:D4/Dic7 → C2 ⊆ Aut C61684-C6.2(C7:D4)336,36
C6.3(C7:D4) = Dic6:D7φ: C7:D4/Dic7 → C2 ⊆ Aut C61684+C6.3(C7:D4)336,37
C6.4(C7:D4) = C7:Dic12φ: C7:D4/Dic7 → C2 ⊆ Aut C63364-C6.4(C7:D4)336,40
C6.5(C7:D4) = D42:C4φ: C7:D4/Dic7 → C2 ⊆ Aut C6168C6.5(C7:D4)336,44
C6.6(C7:D4) = C42.Q8φ: C7:D4/Dic7 → C2 ⊆ Aut C6336C6.6(C7:D4)336,45
C6.7(C7:D4) = C21:D8φ: C7:D4/D14 → C2 ⊆ Aut C61684C6.7(C7:D4)336,29
C6.8(C7:D4) = C28.D6φ: C7:D4/D14 → C2 ⊆ Aut C61684C6.8(C7:D4)336,32
C6.9(C7:D4) = C42.D4φ: C7:D4/D14 → C2 ⊆ Aut C61684C6.9(C7:D4)336,33
C6.10(C7:D4) = C21:Q16φ: C7:D4/D14 → C2 ⊆ Aut C63364C6.10(C7:D4)336,38
C6.11(C7:D4) = D14:Dic3φ: C7:D4/D14 → C2 ⊆ Aut C6168C6.11(C7:D4)336,42
C6.12(C7:D4) = D6:Dic7φ: C7:D4/D14 → C2 ⊆ Aut C6168C6.12(C7:D4)336,43
C6.13(C7:D4) = Dic21:C4φ: C7:D4/D14 → C2 ⊆ Aut C6336C6.13(C7:D4)336,46
C6.14(C7:D4) = C42.4Q8φ: C7:D4/C2xC14 → C2 ⊆ Aut C6336C6.14(C7:D4)336,98
C6.15(C7:D4) = C2.D84φ: C7:D4/C2xC14 → C2 ⊆ Aut C6168C6.15(C7:D4)336,100
C6.16(C7:D4) = D4:D21φ: C7:D4/C2xC14 → C2 ⊆ Aut C61684+C6.16(C7:D4)336,101
C6.17(C7:D4) = D4.D21φ: C7:D4/C2xC14 → C2 ⊆ Aut C61684-C6.17(C7:D4)336,102
C6.18(C7:D4) = Q8:2D21φ: C7:D4/C2xC14 → C2 ⊆ Aut C61684+C6.18(C7:D4)336,103
C6.19(C7:D4) = C21:7Q16φ: C7:D4/C2xC14 → C2 ⊆ Aut C63364-C6.19(C7:D4)336,104
C6.20(C7:D4) = C42.38D4φ: C7:D4/C2xC14 → C2 ⊆ Aut C6168C6.20(C7:D4)336,105
C6.21(C7:D4) = C3xDic7:C4central extension (φ=1)336C6.21(C7:D4)336,66
C6.22(C7:D4) = C3xD14:C4central extension (φ=1)168C6.22(C7:D4)336,68
C6.23(C7:D4) = C3xD4:D7central extension (φ=1)1684C6.23(C7:D4)336,69
C6.24(C7:D4) = C3xD4.D7central extension (φ=1)1684C6.24(C7:D4)336,70
C6.25(C7:D4) = C3xQ8:D7central extension (φ=1)1684C6.25(C7:D4)336,71
C6.26(C7:D4) = C3xC7:Q16central extension (φ=1)3364C6.26(C7:D4)336,72
C6.27(C7:D4) = C3xC23.D7central extension (φ=1)168C6.27(C7:D4)336,73

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