Extensions 1→N→G→Q→1 with N=C12 and Q=C10

Direct product G=N×Q with N=C12 and Q=C10
dρLabelID
C2×C60120C2xC60120,31

Semidirect products G=N:Q with N=C12 and Q=C10
extensionφ:Q→Aut NdρLabelID
C121C10 = C5×D12φ: C10/C5C2 ⊆ Aut C12602C12:1C10120,23
C122C10 = S3×C20φ: C10/C5C2 ⊆ Aut C12602C12:2C10120,22
C123C10 = D4×C15φ: C10/C5C2 ⊆ Aut C12602C12:3C10120,32

Non-split extensions G=N.Q with N=C12 and Q=C10
extensionφ:Q→Aut NdρLabelID
C12.1C10 = C5×Dic6φ: C10/C5C2 ⊆ Aut C121202C12.1C10120,21
C12.2C10 = C5×C3⋊C8φ: C10/C5C2 ⊆ Aut C121202C12.2C10120,1
C12.3C10 = Q8×C15φ: C10/C5C2 ⊆ Aut C121202C12.3C10120,33

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