Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=C32

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

Semidirect products G=N:Q with N=He3⋊C2 and Q=C32
extensionφ:Q→Out NdρLabelID
He3⋊C21C32 = C3×C3≀S3φ: C32/C3C3 ⊆ Out He3⋊C227He3:C2:1C3^2486,115
He3⋊C22C32 = C3×He3.2C6φ: C32/C3C3 ⊆ Out He3⋊C281He3:C2:2C3^2486,121
He3⋊C23C32 = He3.(C3×C6)φ: C32/C3C3 ⊆ Out He3⋊C2279He3:C2:3C3^2486,130
He3⋊C24C32 = 3+ 1+42C2φ: trivial image279He3:C2:4C3^2486,237

Non-split extensions G=N.Q with N=He3⋊C2 and Q=C32
extensionφ:Q→Out NdρLabelID
He3⋊C2.1C32 = C3×He3.C6φ: C32/C3C3 ⊆ Out He3⋊C281He3:C2.1C3^2486,118
He3⋊C2.2C32 = C3≀S33C3φ: C32/C3C3 ⊆ Out He3⋊C2273He3:C2.2C3^2486,125
He3⋊C2.3C32 = C3≀C3⋊C6φ: C32/C3C3 ⊆ Out He3⋊C2279He3:C2.3C3^2486,126
He3⋊C2.4C32 = He3.C3⋊C6φ: C32/C3C3 ⊆ Out He3⋊C2279He3:C2.4C3^2486,128
He3⋊C2.5C32 = C3≀C3.C6φ: C32/C3C3 ⊆ Out He3⋊C2279He3:C2.5C3^2486,132
He3⋊C2.6C32 = C3×He3.4C6φ: trivial image81He3:C2.6C3^2486,235
He3⋊C2.7C32 = 3- 1+42C2φ: trivial image279He3:C2.7C3^2486,239

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