Extensions 1→N→G→Q→1 with N=C3 and Q=C12.58D6

Direct product G=N×Q with N=C3 and Q=C12.58D6
dρLabelID
C3×C12.58D672C3xC12.58D6432,486

Semidirect products G=N:Q with N=C3 and Q=C12.58D6
extensionφ:Q→Aut NdρLabelID
C31(C12.58D6) = C337M4(2)φ: C12.58D6/C324C8C2 ⊆ Aut C3144C3:1(C12.58D6)432,433
C32(C12.58D6) = C3318M4(2)φ: C12.58D6/C6×C12C2 ⊆ Aut C3216C3:2(C12.58D6)432,502

Non-split extensions G=N.Q with N=C3 and Q=C12.58D6
extensionφ:Q→Aut NdρLabelID
C3.(C12.58D6) = C36.69D6φ: C12.58D6/C6×C12C2 ⊆ Aut C3216C3.(C12.58D6)432,179
C3.2(C12.58D6) = He38M4(2)central stem extension (φ=1)726C3.2(C12.58D6)432,185

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