Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=Q8

Direct product G=N×Q with N=He3⋊C2 and Q=Q8
dρLabelID
Q8×He3⋊C2726Q8xHe3:C2432,394

Semidirect products G=N:Q with N=He3⋊C2 and Q=Q8
extensionφ:Q→Out NdρLabelID
He3⋊C2⋊Q8 = C2×SU3(𝔽2)φ: Q8/C2C22 ⊆ Out He3⋊C2543He3:C2:Q8432,531
He3⋊C22Q8 = C12.85S32φ: Q8/C4C2 ⊆ Out He3⋊C2726-He3:C2:2Q8432,298

Non-split extensions G=N.Q with N=He3⋊C2 and Q=Q8
extensionφ:Q→Out NdρLabelID
He3⋊C2.Q8 = C6.S3≀C2φ: Q8/C2C22 ⊆ Out He3⋊C2726-He3:C2.Q8432,237
He3⋊C2.2Q8 = C4⋊(He3⋊C4)φ: Q8/C4C2 ⊆ Out He3⋊C2726He3:C2.2Q8432,276

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