Extensions 1→N→G→Q→1 with N=He3:C2 and Q=C2xC4

Direct product G=NxQ with N=He3:C2 and Q=C2xC4
dρLabelID
C2xC4xHe3:C272C2xC4xHe3:C2432,385

Semidirect products G=N:Q with N=He3:C2 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
He3:C2:1(C2xC4) = C4xC32:D6φ: C2xC4/C4C2 ⊆ Out He3:C2366He3:C2:1(C2xC4)432,300
He3:C2:2(C2xC4) = C22xHe3:C4φ: C2xC4/C22C2 ⊆ Out He3:C272He3:C2:2(C2xC4)432,543
He3:C2:3(C2xC4) = C2xHe3:(C2xC4)φ: C2xC4/C22C2 ⊆ Out He3:C272He3:C2:3(C2xC4)432,321

Non-split extensions G=N.Q with N=He3:C2 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
He3:C2.1(C2xC4) = C2xHe3:C8φ: C2xC4/C2C4 ⊆ Out He3:C2546+He3:C2.1(C2xC4)432,529
He3:C2.2(C2xC4) = C2.SU3(F2)φ: C2xC4/C2C22 ⊆ Out He3:C2723He3:C2.2(C2xC4)432,239
He3:C2.3(C2xC4) = C6.S3wrC2φ: C2xC4/C2C22 ⊆ Out He3:C2726-He3:C2.3(C2xC4)432,237
He3:C2.4(C2xC4) = C32:D6:C4φ: C2xC4/C2C22 ⊆ Out He3:C2366He3:C2.4(C2xC4)432,238
He3:C2.5(C2xC4) = C4xHe3:C4φ: C2xC4/C4C2 ⊆ Out He3:C2723He3:C2.5(C2xC4)432,275

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