Extensions 1→N→G→Q→1 with N=C2×Dic9 and Q=C6

Direct product G=N×Q with N=C2×Dic9 and Q=C6
dρLabelID
C2×C6×Dic9144C2xC6xDic9432,372

Semidirect products G=N:Q with N=C2×Dic9 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×Dic9)⋊1C6 = D18⋊C12φ: C6/C1C6 ⊆ Out C2×Dic972(C2xDic9):1C6432,147
(C2×Dic9)⋊2C6 = C62.27D6φ: C6/C1C6 ⊆ Out C2×Dic972(C2xDic9):2C6432,167
(C2×Dic9)⋊3C6 = Dic182C6φ: C6/C1C6 ⊆ Out C2×Dic97212-(C2xDic9):3C6432,363
(C2×Dic9)⋊4C6 = C2×Dic9⋊C6φ: C6/C1C6 ⊆ Out C2×Dic972(C2xDic9):4C6432,379
(C2×Dic9)⋊5C6 = C2×C4×C9⋊C6φ: C6/C2C3 ⊆ Out C2×Dic972(C2xDic9):5C6432,353
(C2×Dic9)⋊6C6 = C22×C9⋊C12φ: C6/C2C3 ⊆ Out C2×Dic9144(C2xDic9):6C6432,378
(C2×Dic9)⋊7C6 = C3×D18⋊C4φ: C6/C3C2 ⊆ Out C2×Dic9144(C2xDic9):7C6432,134
(C2×Dic9)⋊8C6 = C3×C18.D4φ: C6/C3C2 ⊆ Out C2×Dic972(C2xDic9):8C6432,164
(C2×Dic9)⋊9C6 = C3×D42D9φ: C6/C3C2 ⊆ Out C2×Dic9724(C2xDic9):9C6432,357
(C2×Dic9)⋊10C6 = C6×C9⋊D4φ: C6/C3C2 ⊆ Out C2×Dic972(C2xDic9):10C6432,374
(C2×Dic9)⋊11C6 = D9×C2×C12φ: trivial image144(C2xDic9):11C6432,342

Non-split extensions G=N.Q with N=C2×Dic9 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×Dic9).1C6 = Dic9⋊C12φ: C6/C1C6 ⊆ Out C2×Dic9144(C2xDic9).1C6432,145
(C2×Dic9).2C6 = C36⋊C12φ: C6/C1C6 ⊆ Out C2×Dic9144(C2xDic9).2C6432,146
(C2×Dic9).3C6 = C2×C36.C6φ: C6/C1C6 ⊆ Out C2×Dic9144(C2xDic9).3C6432,352
(C2×Dic9).4C6 = C4×C9⋊C12φ: C6/C2C3 ⊆ Out C2×Dic9144(C2xDic9).4C6432,144
(C2×Dic9).5C6 = C3×Dic9⋊C4φ: C6/C3C2 ⊆ Out C2×Dic9144(C2xDic9).5C6432,129
(C2×Dic9).6C6 = C3×C4⋊Dic9φ: C6/C3C2 ⊆ Out C2×Dic9144(C2xDic9).6C6432,130
(C2×Dic9).7C6 = C6×Dic18φ: C6/C3C2 ⊆ Out C2×Dic9144(C2xDic9).7C6432,340
(C2×Dic9).8C6 = C12×Dic9φ: trivial image144(C2xDic9).8C6432,128

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