Extensions 1→N→G→Q→1 with N=C7 and Q=C8⋊3D4

Direct product G=N×Q with N=C7 and Q=C8⋊3D4
dρLabelID
C7×C8⋊3D4224C7xC8:3D4448,904

Semidirect products G=N:Q with N=C7 and Q=C8⋊3D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C8⋊3D4) = C8⋊D28φ: C8⋊3D4/C8⋊C4 → C2 ⊆ Aut C7224C7:1(C8:3D4)448,246
C7⋊2(C8⋊3D4) = C42.64D14φ: C8⋊3D4/C4.4D4 → C2 ⊆ Aut C7224C7:2(C8:3D4)448,592
C7⋊3(C8⋊3D4) = C42.74D14φ: C8⋊3D4/C4⋊1D4 → C2 ⊆ Aut C7224C7:3(C8:3D4)448,608
C7⋊4(C8⋊3D4) = C56⋊11D4φ: C8⋊3D4/C2×D8 → C2 ⊆ Aut C7224C7:4(C8:3D4)448,688
C7⋊5(C8⋊3D4) = C56⋊9D4φ: C8⋊3D4/C2×SD16 → C2 ⊆ Aut C7224C7:5(C8:3D4)448,710


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