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Extensions 1→N→G→Q→1 with N=C6 and Q=C8×D5

Direct product G=N×Q with N=C6 and Q=C8×D5
dρLabelID
D5×C2×C24240D5xC2xC24480,692

Semidirect products G=N:Q with N=C6 and Q=C8×D5
extensionφ:Q→Aut NdρLabelID
C6⋊1(C8×D5) = C2×D15⋊2C8φ: C8×D5/C5⋊2C8 → C2 ⊆ Aut C6240C6:1(C8xD5)480,365
C6⋊2(C8×D5) = C2×C8×D15φ: C8×D5/C40 → C2 ⊆ Aut C6240C6:2(C8xD5)480,864
C6⋊3(C8×D5) = C2×D5×C3⋊C8φ: C8×D5/C4×D5 → C2 ⊆ Aut C6240C6:3(C8xD5)480,357

Non-split extensions G=N.Q with N=C6 and Q=C8×D5
extensionφ:Q→Aut NdρLabelID
C6.1(C8×D5) = D15⋊2C16φ: C8×D5/C5⋊2C8 → C2 ⊆ Aut C62404C6.1(C8xD5)480,9
C6.2(C8×D5) = D30.5C8φ: C8×D5/C5⋊2C8 → C2 ⊆ Aut C62404C6.2(C8xD5)480,12
C6.3(C8×D5) = Dic15⋊4C8φ: C8×D5/C5⋊2C8 → C2 ⊆ Aut C6480C6.3(C8xD5)480,27
C6.4(C8×D5) = D30⋊4C8φ: C8×D5/C5⋊2C8 → C2 ⊆ Aut C6240C6.4(C8xD5)480,33
C6.5(C8×D5) = C60.14Q8φ: C8×D5/C5⋊2C8 → C2 ⊆ Aut C6480C6.5(C8xD5)480,59
C6.6(C8×D5) = C16×D15φ: C8×D5/C40 → C2 ⊆ Aut C62402C6.6(C8xD5)480,157
C6.7(C8×D5) = C80⋊S3φ: C8×D5/C40 → C2 ⊆ Aut C62402C6.7(C8xD5)480,158
C6.8(C8×D5) = C8×Dic15φ: C8×D5/C40 → C2 ⊆ Aut C6480C6.8(C8xD5)480,173
C6.9(C8×D5) = C60.26Q8φ: C8×D5/C40 → C2 ⊆ Aut C6480C6.9(C8xD5)480,174
C6.10(C8×D5) = D30⋊3C8φ: C8×D5/C40 → C2 ⊆ Aut C6240C6.10(C8xD5)480,180
C6.11(C8×D5) = D5×C3⋊C16φ: C8×D5/C4×D5 → C2 ⊆ Aut C62404C6.11(C8xD5)480,7
C6.12(C8×D5) = C40.51D6φ: C8×D5/C4×D5 → C2 ⊆ Aut C62404C6.12(C8xD5)480,10
C6.13(C8×D5) = Dic5×C3⋊C8φ: C8×D5/C4×D5 → C2 ⊆ Aut C6480C6.13(C8xD5)480,25
C6.14(C8×D5) = C60.93D4φ: C8×D5/C4×D5 → C2 ⊆ Aut C6240C6.14(C8xD5)480,31
C6.15(C8×D5) = C60.13Q8φ: C8×D5/C4×D5 → C2 ⊆ Aut C6480C6.15(C8xD5)480,58
C6.16(C8×D5) = D5×C48central extension (φ=1)2402C6.16(C8xD5)480,75
C6.17(C8×D5) = C3×C80⋊C2central extension (φ=1)2402C6.17(C8xD5)480,76
C6.18(C8×D5) = Dic5×C24central extension (φ=1)480C6.18(C8xD5)480,91
C6.19(C8×D5) = C3×C20.8Q8central extension (φ=1)480C6.19(C8xD5)480,92
C6.20(C8×D5) = C3×D10⋊1C8central extension (φ=1)240C6.20(C8xD5)480,98

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