# Extensions 1→N→G→Q→1 with N=C3×He3⋊C2 and Q=C3

Direct product G=N×Q with N=C3×He3⋊C2 and Q=C3
dρLabelID
C32×He3⋊C281C3^2xHe3:C2486,230

Semidirect products G=N:Q with N=C3×He3⋊C2 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×He3⋊C2)⋊1C3 = C3×C3≀S3φ: C3/C1C3 ⊆ Out C3×He3⋊C227(C3xHe3:C2):1C3486,115
(C3×He3⋊C2)⋊2C3 = C3×He3.2C6φ: C3/C1C3 ⊆ Out C3×He3⋊C281(C3xHe3:C2):2C3486,121
(C3×He3⋊C2)⋊3C3 = C3≀C3⋊C6φ: C3/C1C3 ⊆ Out C3×He3⋊C2279(C3xHe3:C2):3C3486,126
(C3×He3⋊C2)⋊4C3 = He3.(C3×C6)φ: C3/C1C3 ⊆ Out C3×He3⋊C2279(C3xHe3:C2):4C3486,130
(C3×He3⋊C2)⋊5C3 = 3+ 1+42C2φ: C3/C1C3 ⊆ Out C3×He3⋊C2279(C3xHe3:C2):5C3486,237

Non-split extensions G=N.Q with N=C3×He3⋊C2 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×He3⋊C2).1C3 = He3⋊C18φ: C3/C1C3 ⊆ Out C3×He3⋊C281(C3xHe3:C2).1C3486,24
(C3×He3⋊C2).2C3 = C3×He3.C6φ: C3/C1C3 ⊆ Out C3×He3⋊C281(C3xHe3:C2).2C3486,118
(C3×He3⋊C2).3C3 = He3.C3⋊C6φ: C3/C1C3 ⊆ Out C3×He3⋊C2279(C3xHe3:C2).3C3486,128
(C3×He3⋊C2).4C3 = 3- 1+42C2φ: C3/C1C3 ⊆ Out C3×He3⋊C2279(C3xHe3:C2).4C3486,239
(C3×He3⋊C2).5C3 = C9×He3⋊C2φ: trivial image81(C3xHe3:C2).5C3486,143
(C3×He3⋊C2).6C3 = C3×He3.4C6φ: trivial image81(C3xHe3:C2).6C3486,235

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