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Extensions 1→N→G→Q→1 with N=C6 and Q=C4.Dic5

Direct product G=N×Q with N=C6 and Q=C4.Dic5
dρLabelID
C6×C4.Dic5240C6xC4.Dic5480,714

Semidirect products G=N:Q with N=C6 and Q=C4.Dic5
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4.Dic5) = C2×D6.Dic5φ: C4.Dic5/C5⋊2C8 → C2 ⊆ Aut C6240C6:1(C4.Dic5)480,370
C6⋊2(C4.Dic5) = C2×C60.7C4φ: C4.Dic5/C2×C20 → C2 ⊆ Aut C6240C6:2(C4.Dic5)480,886

Non-split extensions G=N.Q with N=C6 and Q=C4.Dic5
extensionφ:Q→Aut NdρLabelID
C6.1(C4.Dic5) = C30.22C42φ: C4.Dic5/C5⋊2C8 → C2 ⊆ Aut C6480C6.1(C4.Dic5)480,29
C6.2(C4.Dic5) = C60.94D4φ: C4.Dic5/C5⋊2C8 → C2 ⊆ Aut C6240C6.2(C4.Dic5)480,32
C6.3(C4.Dic5) = C60.15Q8φ: C4.Dic5/C5⋊2C8 → C2 ⊆ Aut C6480C6.3(C4.Dic5)480,60
C6.4(C4.Dic5) = C42.D15φ: C4.Dic5/C2×C20 → C2 ⊆ Aut C6480C6.4(C4.Dic5)480,163
C6.5(C4.Dic5) = C60⋊5C8φ: C4.Dic5/C2×C20 → C2 ⊆ Aut C6480C6.5(C4.Dic5)480,164
C6.6(C4.Dic5) = C60.212D4φ: C4.Dic5/C2×C20 → C2 ⊆ Aut C6240C6.6(C4.Dic5)480,190
C6.7(C4.Dic5) = C3×C42.D5central extension (φ=1)480C6.7(C4.Dic5)480,81
C6.8(C4.Dic5) = C3×C20⋊3C8central extension (φ=1)480C6.8(C4.Dic5)480,82
C6.9(C4.Dic5) = C3×C20.55D4central extension (φ=1)240C6.9(C4.Dic5)480,108

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