Extensions 1→N→G→Q→1 with N=C57 and Q=C2×C4

Direct product G=N×Q with N=C57 and Q=C2×C4
dρLabelID
C2×C228456C2xC228456,39

Semidirect products G=N:Q with N=C57 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C571(C2×C4) = Dic3×D19φ: C2×C4/C2C22 ⊆ Aut C572284-C57:1(C2xC4)456,12
C572(C2×C4) = S3×Dic19φ: C2×C4/C2C22 ⊆ Aut C572284-C57:2(C2xC4)456,13
C573(C2×C4) = D57⋊C4φ: C2×C4/C2C22 ⊆ Aut C572284+C57:3(C2xC4)456,14
C574(C2×C4) = C4×D57φ: C2×C4/C4C2 ⊆ Aut C572282C57:4(C2xC4)456,35
C575(C2×C4) = C12×D19φ: C2×C4/C4C2 ⊆ Aut C572282C57:5(C2xC4)456,25
C576(C2×C4) = S3×C76φ: C2×C4/C4C2 ⊆ Aut C572282C57:6(C2xC4)456,30
C577(C2×C4) = C2×Dic57φ: C2×C4/C22C2 ⊆ Aut C57456C57:7(C2xC4)456,37
C578(C2×C4) = C6×Dic19φ: C2×C4/C22C2 ⊆ Aut C57456C57:8(C2xC4)456,27
C579(C2×C4) = Dic3×C38φ: C2×C4/C22C2 ⊆ Aut C57456C57:9(C2xC4)456,32


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