Extensions 1→N→G→Q→1 with N=C3xC9 and Q=C2xC6

Direct product G=NxQ with N=C3xC9 and Q=C2xC6
dρLabelID
C3xC6xC18324C3xC6xC18324,151

Semidirect products G=N:Q with N=C3xC9 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C3xC9):(C2xC6) = S3xC9:C6φ: C2xC6/C1C2xC6 ⊆ Aut C3xC91812+(C3xC9):(C2xC6)324,118
(C3xC9):2(C2xC6) = C2xC32:D9φ: C2xC6/C2C6 ⊆ Aut C3xC954(C3xC9):2(C2xC6)324,63
(C3xC9):3(C2xC6) = C2xHe3.S3φ: C2xC6/C2C6 ⊆ Aut C3xC9546+(C3xC9):3(C2xC6)324,71
(C3xC9):4(C2xC6) = C2xHe3.2S3φ: C2xC6/C2C6 ⊆ Aut C3xC9546+(C3xC9):4(C2xC6)324,73
(C3xC9):5(C2xC6) = C6xC9:C6φ: C2xC6/C2C6 ⊆ Aut C3xC9366(C3xC9):5(C2xC6)324,140
(C3xC9):6(C2xC6) = C2xC33.S3φ: C2xC6/C2C6 ⊆ Aut C3xC954(C3xC9):6(C2xC6)324,146
(C3xC9):7(C2xC6) = C2xHe3.4S3φ: C2xC6/C2C6 ⊆ Aut C3xC9546+(C3xC9):7(C2xC6)324,147
(C3xC9):8(C2xC6) = C2xS3x3- 1+2φ: C2xC6/C2C6 ⊆ Aut C3xC9366(C3xC9):8(C2xC6)324,141
(C3xC9):9(C2xC6) = C3xS3xD9φ: C2xC6/C3C22 ⊆ Aut C3xC9364(C3xC9):9(C2xC6)324,114
(C3xC9):10(C2xC6) = C22xC32:C9φ: C2xC6/C22C3 ⊆ Aut C3xC9108(C3xC9):10(C2xC6)324,82
(C3xC9):11(C2xC6) = C22xHe3.C3φ: C2xC6/C22C3 ⊆ Aut C3xC9108(C3xC9):11(C2xC6)324,87
(C3xC9):12(C2xC6) = C22xHe3:C3φ: C2xC6/C22C3 ⊆ Aut C3xC9108(C3xC9):12(C2xC6)324,88
(C3xC9):13(C2xC6) = C2xC6x3- 1+2φ: C2xC6/C22C3 ⊆ Aut C3xC9108(C3xC9):13(C2xC6)324,153
(C3xC9):14(C2xC6) = C22xC9oHe3φ: C2xC6/C22C3 ⊆ Aut C3xC9108(C3xC9):14(C2xC6)324,154
(C3xC9):15(C2xC6) = S3xC3xC18φ: C2xC6/C6C2 ⊆ Aut C3xC9108(C3xC9):15(C2xC6)324,137
(C3xC9):16(C2xC6) = D9xC3xC6φ: C2xC6/C6C2 ⊆ Aut C3xC9108(C3xC9):16(C2xC6)324,136
(C3xC9):17(C2xC6) = C6xC9:S3φ: C2xC6/C6C2 ⊆ Aut C3xC9108(C3xC9):17(C2xC6)324,142

Non-split extensions G=N.Q with N=C3xC9 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C3xC9).(C2xC6) = C2xC9:C18φ: C2xC6/C2C6 ⊆ Aut C3xC9366(C3xC9).(C2xC6)324,64
(C3xC9).2(C2xC6) = C22xC3.He3φ: C2xC6/C22C3 ⊆ Aut C3xC9108(C3xC9).2(C2xC6)324,89
(C3xC9).3(C2xC6) = C22xC9:C9φ: C2xC6/C22C3 ⊆ Aut C3xC9324(C3xC9).3(C2xC6)324,83
(C3xC9).4(C2xC6) = C22xC27:C3φ: C2xC6/C22C3 ⊆ Aut C3xC9108(C3xC9).4(C2xC6)324,85
(C3xC9).5(C2xC6) = S3xC54φ: C2xC6/C6C2 ⊆ Aut C3xC91082(C3xC9).5(C2xC6)324,66
(C3xC9).6(C2xC6) = D9xC18φ: C2xC6/C6C2 ⊆ Aut C3xC9362(C3xC9).6(C2xC6)324,61

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