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

Direct product G=N×Q with N=C7 and Q=C4×C4⋊C4
dρLabelID
C4⋊C4×C28448C4:C4xC28448,786

Semidirect products G=N:Q with N=C7 and Q=C4×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C71(C4×C4⋊C4) = Dic7⋊C42φ: C4×C4⋊C4/C2.C42C2 ⊆ Aut C7448C7:1(C4xC4:C4)448,183
C72(C4×C4⋊C4) = C4×Dic7⋊C4φ: C4×C4⋊C4/C2×C42C2 ⊆ Aut C7448C7:2(C4xC4:C4)448,465
C73(C4×C4⋊C4) = C4×C4⋊Dic7φ: C4×C4⋊C4/C2×C42C2 ⊆ Aut C7448C7:3(C4xC4:C4)448,468
C74(C4×C4⋊C4) = C4⋊C4×Dic7φ: C4×C4⋊C4/C2×C4⋊C4C2 ⊆ Aut C7448C7:4(C4xC4:C4)448,509


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