Extensions 1→N→G→Q→1 with N=He3:2D4 and Q=C2

Direct product G=NxQ with N=He3:2D4 and Q=C2
dρLabelID
C2xHe3:2D472C2xHe3:2D4432,320

Semidirect products G=N:Q with N=He3:2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
He3:2D4:1C2 = He3:D8φ: C2/C1C2 ⊆ Out He3:2D4726+He3:2D4:1C2432,235
He3:2D4:2C2 = C12.86S32φ: C2/C1C2 ⊆ Out He3:2D4366+He3:2D4:2C2432,302
He3:2D4:3C2 = C62.9D6φ: C2/C1C2 ⊆ Out He3:2D4726He3:2D4:3C2432,319
He3:2D4:4C2 = C12:S3:S3φ: C2/C1C2 ⊆ Out He3:2D47212+He3:2D4:4C2432,295
He3:2D4:5C2 = C62:D6φ: C2/C1C2 ⊆ Out He3:2D43612+He3:2D4:5C2432,323
He3:2D4:6C2 = C12.91S32φ: trivial image726He3:2D4:6C2432,297

Non-split extensions G=N.Q with N=He3:2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
He3:2D4.C2 = He3:2SD16φ: C2/C1C2 ⊆ Out He3:2D4726He3:2D4.C2432,234

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