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Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C4⋊D4

Direct product G=N×Q with N=C7 and Q=C2×C4⋊D4
dρLabelID
C14×C4⋊D4224C14xC4:D4448,1305

Semidirect products G=N:Q with N=C7 and Q=C2×C4⋊D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C2×C4⋊D4) = C2×D14⋊D4φ: C2×C4⋊D4/C2×C22⋊C4 → C2 ⊆ Aut C7224C7:1(C2xC4:D4)448,942
C7⋊2(C2×C4⋊D4) = C2×C4⋊D28φ: C2×C4⋊D4/C2×C4⋊C4 → C2 ⊆ Aut C7224C7:2(C2xC4:D4)448,959
C7⋊3(C2×C4⋊D4) = D7×C4⋊D4φ: C2×C4⋊D4/C4⋊D4 → C2 ⊆ Aut C7112C7:3(C2xC4:D4)448,1057
C7⋊4(C2×C4⋊D4) = C2×C28⋊7D4φ: C2×C4⋊D4/C23×C4 → C2 ⊆ Aut C7224C7:4(C2xC4:D4)448,1243
C7⋊5(C2×C4⋊D4) = C2×C28⋊2D4φ: C2×C4⋊D4/C22×D4 → C2 ⊆ Aut C7224C7:5(C2xC4:D4)448,1253
C7⋊6(C2×C4⋊D4) = C2×Dic7⋊D4φ: C2×C4⋊D4/C22×D4 → C2 ⊆ Aut C7224C7:6(C2xC4:D4)448,1255


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