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Extensions 1→N→G→Q→1 with N=C6 and Q=D4.D5

Direct product G=N×Q with N=C6 and Q=D4.D5
dρLabelID
C6×D4.D5240C6xD4.D5480,726

Semidirect products G=N:Q with N=C6 and Q=D4.D5
extensionφ:Q→Aut NdρLabelID
C6⋊1(D4.D5) = C2×D12.D5φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C6240C6:1(D4.D5)480,392
C6⋊2(D4.D5) = C2×C20.D6φ: D4.D5/Dic10 → C2 ⊆ Aut C6240C6:2(D4.D5)480,384
C6⋊3(D4.D5) = C2×D4.D15φ: D4.D5/C5×D4 → C2 ⊆ Aut C6240C6:3(D4.D5)480,898

Non-split extensions G=N.Q with N=C6 and Q=D4.D5
extensionφ:Q→Aut NdρLabelID
C6.1(D4.D5) = C10.D24φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C6240C6.1(D4.D5)480,43
C6.2(D4.D5) = Dic30⋊15C4φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C6480C6.2(D4.D5)480,51
C6.3(D4.D5) = C60.7Q8φ: D4.D5/C5⋊2C8 → C2 ⊆ Aut C6480C6.3(D4.D5)480,61
C6.4(D4.D5) = D12⋊Dic5φ: D4.D5/Dic10 → C2 ⊆ Aut C6240C6.4(D4.D5)480,42
C6.5(D4.D5) = C30.Q16φ: D4.D5/Dic10 → C2 ⊆ Aut C6480C6.5(D4.D5)480,46
C6.6(D4.D5) = C30.SD16φ: D4.D5/Dic10 → C2 ⊆ Aut C6480C6.6(D4.D5)480,62
C6.7(D4.D5) = C60.2Q8φ: D4.D5/C5×D4 → C2 ⊆ Aut C6480C6.7(D4.D5)480,168
C6.8(D4.D5) = Dic30⋊9C4φ: D4.D5/C5×D4 → C2 ⊆ Aut C6480C6.8(D4.D5)480,170
C6.9(D4.D5) = D4⋊Dic15φ: D4.D5/C5×D4 → C2 ⊆ Aut C6240C6.9(D4.D5)480,192
C6.10(D4.D5) = C3×C20.Q8central extension (φ=1)480C6.10(D4.D5)480,86
C6.11(D4.D5) = C3×C10.Q16central extension (φ=1)480C6.11(D4.D5)480,88
C6.12(D4.D5) = C3×D4⋊Dic5central extension (φ=1)240C6.12(D4.D5)480,110

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