# Extensions 1→N→G→Q→1 with N=C22×C6 and Q=Dic3

Direct product G=N×Q with N=C22×C6 and Q=Dic3
dρLabelID
Dic3×C22×C696Dic3xC2^2xC6288,1001

Semidirect products G=N:Q with N=C22×C6 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊1Dic3 = C6×A4⋊C4φ: Dic3/C2S3 ⊆ Aut C22×C672(C2^2xC6):1Dic3288,905
(C22×C6)⋊2Dic3 = C2×C6.7S4φ: Dic3/C2S3 ⊆ Aut C22×C672(C2^2xC6):2Dic3288,916
(C22×C6)⋊3Dic3 = C3×C23.7D6φ: Dic3/C3C4 ⊆ Aut C22×C6244(C2^2xC6):3Dic3288,268
(C22×C6)⋊4Dic3 = C62.38D4φ: Dic3/C3C4 ⊆ Aut C22×C672(C2^2xC6):4Dic3288,309
(C22×C6)⋊5Dic3 = C6×C6.D4φ: Dic3/C6C2 ⊆ Aut C22×C648(C2^2xC6):5Dic3288,723
(C22×C6)⋊6Dic3 = C2×C625C4φ: Dic3/C6C2 ⊆ Aut C22×C6144(C2^2xC6):6Dic3288,809
(C22×C6)⋊7Dic3 = C23×C3⋊Dic3φ: Dic3/C6C2 ⊆ Aut C22×C6288(C2^2xC6):7Dic3288,1016

Non-split extensions G=N.Q with N=C22×C6 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C22×C6).1Dic3 = C3×A4⋊C8φ: Dic3/C2S3 ⊆ Aut C22×C6723(C2^2xC6).1Dic3288,398
(C22×C6).2Dic3 = C12.S4φ: Dic3/C2S3 ⊆ Aut C22×C6726(C2^2xC6).2Dic3288,68
(C22×C6).3Dic3 = C2×C6.S4φ: Dic3/C2S3 ⊆ Aut C22×C672(C2^2xC6).3Dic3288,341
(C22×C6).4Dic3 = C12.12S4φ: Dic3/C2S3 ⊆ Aut C22×C6726(C2^2xC6).4Dic3288,402
(C22×C6).5Dic3 = C3×C12.D4φ: Dic3/C3C4 ⊆ Aut C22×C6244(C2^2xC6).5Dic3288,267
(C22×C6).6Dic3 = C36.D4φ: Dic3/C3C4 ⊆ Aut C22×C6724(C2^2xC6).6Dic3288,39
(C22×C6).7Dic3 = C232Dic9φ: Dic3/C3C4 ⊆ Aut C22×C6724(C2^2xC6).7Dic3288,41
(C22×C6).8Dic3 = (C6×D4).S3φ: Dic3/C3C4 ⊆ Aut C22×C672(C2^2xC6).8Dic3288,308
(C22×C6).9Dic3 = C3×C12.55D4φ: Dic3/C6C2 ⊆ Aut C22×C648(C2^2xC6).9Dic3288,264
(C22×C6).10Dic3 = C6×C4.Dic3φ: Dic3/C6C2 ⊆ Aut C22×C648(C2^2xC6).10Dic3288,692
(C22×C6).11Dic3 = C36.55D4φ: Dic3/C6C2 ⊆ Aut C22×C6144(C2^2xC6).11Dic3288,37
(C22×C6).12Dic3 = C22×C9⋊C8φ: Dic3/C6C2 ⊆ Aut C22×C6288(C2^2xC6).12Dic3288,130
(C22×C6).13Dic3 = C2×C4.Dic9φ: Dic3/C6C2 ⊆ Aut C22×C6144(C2^2xC6).13Dic3288,131
(C22×C6).14Dic3 = C2×C18.D4φ: Dic3/C6C2 ⊆ Aut C22×C6144(C2^2xC6).14Dic3288,162
(C22×C6).15Dic3 = C627C8φ: Dic3/C6C2 ⊆ Aut C22×C6144(C2^2xC6).15Dic3288,305
(C22×C6).16Dic3 = C23×Dic9φ: Dic3/C6C2 ⊆ Aut C22×C6288(C2^2xC6).16Dic3288,365
(C22×C6).17Dic3 = C22×C324C8φ: Dic3/C6C2 ⊆ Aut C22×C6288(C2^2xC6).17Dic3288,777
(C22×C6).18Dic3 = C2×C12.58D6φ: Dic3/C6C2 ⊆ Aut C22×C6144(C2^2xC6).18Dic3288,778
(C22×C6).19Dic3 = C2×C6×C3⋊C8central extension (φ=1)96(C2^2xC6).19Dic3288,691

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