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

Direct product G=N×Q with N=C7 and Q=C2×D4⋊C4
dρLabelID
C14×D4⋊C4224C14xD4:C4448,822

Semidirect products G=N:Q with N=C7 and Q=C2×D4⋊C4
extensionφ:Q→Aut NdρLabelID
C71(C2×D4⋊C4) = D7×D4⋊C4φ: C2×D4⋊C4/D4⋊C4C2 ⊆ Aut C7112C7:1(C2xD4:C4)448,303
C72(C2×D4⋊C4) = C2×C14.D8φ: C2×D4⋊C4/C2×C4⋊C4C2 ⊆ Aut C7224C7:2(C2xD4:C4)448,499
C73(C2×D4⋊C4) = C2×C2.D56φ: C2×D4⋊C4/C22×C8C2 ⊆ Aut C7224C7:3(C2xD4:C4)448,646
C74(C2×D4⋊C4) = C2×D4⋊Dic7φ: C2×D4⋊C4/C22×D4C2 ⊆ Aut C7224C7:4(C2xD4:C4)448,748


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