Extensions 1→N→G→Q→1 with N=He3:3C4 and Q=C2

Direct product G=NxQ with N=He3:3C4 and Q=C2
dρLabelID
C2xHe3:3C472C2xHe3:3C4216,71

Semidirect products G=N:Q with N=He3:3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
He3:3C4:1C2 = He3:2D4φ: C2/C1C2 ⊆ Out He3:3C4366+He3:3C4:1C2216,35
He3:3C4:2C2 = C6.S32φ: C2/C1C2 ⊆ Out He3:3C4366He3:3C4:2C2216,34
He3:3C4:3C2 = He3:7D4φ: C2/C1C2 ⊆ Out He3:3C4366He3:3C4:3C2216,72
He3:3C4:4C2 = C4xHe3:C2φ: trivial image363He3:3C4:4C2216,67

Non-split extensions G=N.Q with N=He3:3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
He3:3C4.1C2 = He3:2C8φ: C2/C1C2 ⊆ Out He3:3C4723He3:3C4.1C2216,25
He3:3C4.2C2 = He3:2Q8φ: C2/C1C2 ⊆ Out He3:3C4726-He3:3C4.2C2216,33
He3:3C4.3C2 = He3:4Q8φ: C2/C1C2 ⊆ Out He3:3C4726He3:3C4.3C2216,66

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