Extensions 1→N→G→Q→1 with N=C7×He3 and Q=C2

Direct product G=N×Q with N=C7×He3 and Q=C2
dρLabelID
C14×He31263C14xHe3378,45

Semidirect products G=N:Q with N=C7×He3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×He3)⋊1C2 = He3⋊D7φ: C2/C1C2 ⊆ Out C7×He3636+(C7xHe3):1C2378,38
(C7×He3)⋊2C2 = C32⋊D21φ: C2/C1C2 ⊆ Out C7×He3636(C7xHe3):2C2378,43
(C7×He3)⋊3C2 = D7×He3φ: C2/C1C2 ⊆ Out C7×He3636(C7xHe3):3C2378,30
(C7×He3)⋊4C2 = C7×C32⋊C6φ: C2/C1C2 ⊆ Out C7×He3636(C7xHe3):4C2378,34
(C7×He3)⋊5C2 = C7×He3⋊C2φ: C2/C1C2 ⊆ Out C7×He3633(C7xHe3):5C2378,41


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