# Extensions 1→N→G→Q→1 with N=C22×C6 and Q=C6

Direct product G=N×Q with N=C22×C6 and Q=C6
dρLabelID
C22×C62144C2^2xC6^2144,197

Semidirect products G=N:Q with N=C22×C6 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊C6 = C2×S3×A4φ: C6/C1C6 ⊆ Aut C22×C6186+(C2^2xC6):C6144,190
(C22×C6)⋊2C6 = A4×C2×C6φ: C6/C2C3 ⊆ Aut C22×C636(C2^2xC6):2C6144,193
(C22×C6)⋊3C6 = D4×C3×C6φ: C6/C3C2 ⊆ Aut C22×C672(C2^2xC6):3C6144,179
(C22×C6)⋊4C6 = C6×C3⋊D4φ: C6/C3C2 ⊆ Aut C22×C624(C2^2xC6):4C6144,167
(C22×C6)⋊5C6 = S3×C22×C6φ: C6/C3C2 ⊆ Aut C22×C648(C2^2xC6):5C6144,195

Non-split extensions G=N.Q with N=C22×C6 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C6).C6 = Dic3×A4φ: C6/C1C6 ⊆ Aut C22×C6366-(C2^2xC6).C6144,129
(C22×C6).2C6 = C4×C3.A4φ: C6/C2C3 ⊆ Aut C22×C6363(C2^2xC6).2C6144,34
(C22×C6).3C6 = C22×C3.A4φ: C6/C2C3 ⊆ Aut C22×C636(C2^2xC6).3C6144,110
(C22×C6).4C6 = C12×A4φ: C6/C2C3 ⊆ Aut C22×C6363(C2^2xC6).4C6144,155
(C22×C6).5C6 = C9×C22⋊C4φ: C6/C3C2 ⊆ Aut C22×C672(C2^2xC6).5C6144,21
(C22×C6).6C6 = D4×C18φ: C6/C3C2 ⊆ Aut C22×C672(C2^2xC6).6C6144,48
(C22×C6).7C6 = C32×C22⋊C4φ: C6/C3C2 ⊆ Aut C22×C672(C2^2xC6).7C6144,102
(C22×C6).8C6 = C3×C6.D4φ: C6/C3C2 ⊆ Aut C22×C624(C2^2xC6).8C6144,84
(C22×C6).9C6 = Dic3×C2×C6φ: C6/C3C2 ⊆ Aut C22×C648(C2^2xC6).9C6144,166

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