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Extensions 1→N→G→Q→1 with N=C3×C12 and Q=Dic3

Direct product G=N×Q with N=C3×C12 and Q=Dic3
dρLabelID
Dic3×C3×C12144Dic3xC3xC12432,471

Semidirect products G=N:Q with N=C3×C12 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊1Dic3 = C62.20D6φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12):1Dic3432,140
(C3×C12)⋊2Dic3 = C62.30D6φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12):2Dic3432,188
(C3×C12)⋊3Dic3 = C4×C32⋊C12φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12):3Dic3432,138
(C3×C12)⋊4Dic3 = C4×He3⋊3C4φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12):4Dic3432,186
(C3×C12)⋊5Dic3 = C4×C33⋊C4φ: Dic3/C3 → C4 ⊆ Aut C3×C12484(C3xC12):5Dic3432,637
(C3×C12)⋊6Dic3 = C33⋊9(C4⋊C4)φ: Dic3/C3 → C4 ⊆ Aut C3×C12484(C3xC12):6Dic3432,638
(C3×C12)⋊7Dic3 = C62.147D6φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12):7Dic3432,505
(C3×C12)⋊8Dic3 = C3×C12⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12):8Dic3432,489
(C3×C12)⋊9Dic3 = C12×C3⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12):9Dic3432,487
(C3×C12)⋊10Dic3 = C4×C33⋊5C4φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12):10Dic3432,503
(C3×C12)⋊11Dic3 = C32×C4⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12):11Dic3432,473

Non-split extensions G=N.Q with N=C3×C12 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C3×C12).1Dic3 = He3⋊7M4(2)φ: Dic3/C2 → S3 ⊆ Aut C3×C12726(C3xC12).1Dic3432,137
(C3×C12).2Dic3 = C36.C12φ: Dic3/C2 → S3 ⊆ Aut C3×C12726(C3xC12).2Dic3432,143
(C3×C12).3Dic3 = C36⋊C12φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12).3Dic3432,146
(C3×C12).4Dic3 = He3⋊8M4(2)φ: Dic3/C2 → S3 ⊆ Aut C3×C12726(C3xC12).4Dic3432,185
(C3×C12).5Dic3 = He3⋊3C16φ: Dic3/C2 → S3 ⊆ Aut C3×C121446(C3xC12).5Dic3432,30
(C3×C12).6Dic3 = C9⋊C48φ: Dic3/C2 → S3 ⊆ Aut C3×C121446(C3xC12).6Dic3432,31
(C3×C12).7Dic3 = He3⋊4C16φ: Dic3/C2 → S3 ⊆ Aut C3×C121443(C3xC12).7Dic3432,33
(C3×C12).8Dic3 = C2×He3⋊3C8φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12).8Dic3432,136
(C3×C12).9Dic3 = C2×C9⋊C24φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12).9Dic3432,142
(C3×C12).10Dic3 = C4×C9⋊C12φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12).10Dic3432,144
(C3×C12).11Dic3 = C2×He3⋊4C8φ: Dic3/C2 → S3 ⊆ Aut C3×C12144(C3xC12).11Dic3432,184
(C3×C12).12Dic3 = C33⋊4C16φ: Dic3/C3 → C4 ⊆ Aut C3×C12484(C3xC12).12Dic3432,413
(C3×C12).13Dic3 = C33⋊7(C2×C8)φ: Dic3/C3 → C4 ⊆ Aut C3×C12484(C3xC12).13Dic3432,635
(C3×C12).14Dic3 = C33⋊4M4(2)φ: Dic3/C3 → C4 ⊆ Aut C3×C12484(C3xC12).14Dic3432,636
(C3×C12).15Dic3 = C36.69D6φ: Dic3/C6 → C2 ⊆ Aut C3×C12216(C3xC12).15Dic3432,179
(C3×C12).16Dic3 = C36⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12).16Dic3432,182
(C3×C12).17Dic3 = C33⋊18M4(2)φ: Dic3/C6 → C2 ⊆ Aut C3×C12216(C3xC12).17Dic3432,502
(C3×C12).18Dic3 = C3×C4.Dic9φ: Dic3/C6 → C2 ⊆ Aut C3×C12722(C3xC12).18Dic3432,125
(C3×C12).19Dic3 = C3×C4⋊Dic9φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12).19Dic3432,130
(C3×C12).20Dic3 = C3×C12.58D6φ: Dic3/C6 → C2 ⊆ Aut C3×C1272(C3xC12).20Dic3432,486
(C3×C12).21Dic3 = C3×C9⋊C16φ: Dic3/C6 → C2 ⊆ Aut C3×C121442(C3xC12).21Dic3432,28
(C3×C12).22Dic3 = C72.S3φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12).22Dic3432,32
(C3×C12).23Dic3 = C6×C9⋊C8φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12).23Dic3432,124
(C3×C12).24Dic3 = C12×Dic9φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12).24Dic3432,128
(C3×C12).25Dic3 = C2×C36.S3φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12).25Dic3432,178
(C3×C12).26Dic3 = C4×C9⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12).26Dic3432,180
(C3×C12).27Dic3 = C3×C24.S3φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12).27Dic3432,230
(C3×C12).28Dic3 = C33⋊7C16φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12).28Dic3432,231
(C3×C12).29Dic3 = C6×C32⋊4C8φ: Dic3/C6 → C2 ⊆ Aut C3×C12144(C3xC12).29Dic3432,485
(C3×C12).30Dic3 = C2×C33⋊7C8φ: Dic3/C6 → C2 ⊆ Aut C3×C12432(C3xC12).30Dic3432,501
(C3×C12).31Dic3 = C32×C4.Dic3φ: Dic3/C6 → C2 ⊆ Aut C3×C1272(C3xC12).31Dic3432,470
(C3×C12).32Dic3 = C32×C3⋊C16central extension (φ=1)144(C3xC12).32Dic3432,229
(C3×C12).33Dic3 = C3×C6×C3⋊C8central extension (φ=1)144(C3xC12).33Dic3432,469

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