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

Direct product G=N×Q with N=C6 and Q=D5⋊C8
dρLabelID
C6×D5⋊C8240C6xD5:C8480,1047

Semidirect products G=N:Q with N=C6 and Q=D5⋊C8
extensionφ:Q→Aut NdρLabelID
C6⋊1(D5⋊C8) = C2×D15⋊C8φ: D5⋊C8/C5⋊C8 → C2 ⊆ Aut C6240C6:1(D5:C8)480,1006
C6⋊2(D5⋊C8) = C2×C60.C4φ: D5⋊C8/C4×D5 → C2 ⊆ Aut C6240C6:2(D5:C8)480,1060

Non-split extensions G=N.Q with N=C6 and Q=D5⋊C8
extensionφ:Q→Aut NdρLabelID
C6.1(D5⋊C8) = D15⋊C16φ: D5⋊C8/C5⋊C8 → C2 ⊆ Aut C62408C6.1(D5:C8)480,240
C6.2(D5⋊C8) = D30.C8φ: D5⋊C8/C5⋊C8 → C2 ⊆ Aut C62408C6.2(D5:C8)480,242
C6.3(D5⋊C8) = Dic3×C5⋊C8φ: D5⋊C8/C5⋊C8 → C2 ⊆ Aut C6480C6.3(D5:C8)480,244
C6.4(D5⋊C8) = D30⋊C8φ: D5⋊C8/C5⋊C8 → C2 ⊆ Aut C6240C6.4(D5:C8)480,247
C6.5(D5⋊C8) = Dic15⋊C8φ: D5⋊C8/C5⋊C8 → C2 ⊆ Aut C6480C6.5(D5:C8)480,253
C6.6(D5⋊C8) = C24.F5φ: D5⋊C8/C4×D5 → C2 ⊆ Aut C62404C6.6(D5:C8)480,294
C6.7(D5⋊C8) = C120.C4φ: D5⋊C8/C4×D5 → C2 ⊆ Aut C62404C6.7(D5:C8)480,295
C6.8(D5⋊C8) = C4×C15⋊C8φ: D5⋊C8/C4×D5 → C2 ⊆ Aut C6480C6.8(D5:C8)480,305
C6.9(D5⋊C8) = C30.7M4(2)φ: D5⋊C8/C4×D5 → C2 ⊆ Aut C6240C6.9(D5:C8)480,308
C6.10(D5⋊C8) = Dic5.13D12φ: D5⋊C8/C4×D5 → C2 ⊆ Aut C6480C6.10(D5:C8)480,309
C6.11(D5⋊C8) = C3×D5⋊C16central extension (φ=1)2404C6.11(D5:C8)480,269
C6.12(D5⋊C8) = C3×C8.F5central extension (φ=1)2404C6.12(D5:C8)480,270
C6.13(D5⋊C8) = C12×C5⋊C8central extension (φ=1)480C6.13(D5:C8)480,280
C6.14(D5⋊C8) = C3×D10⋊C8central extension (φ=1)240C6.14(D5:C8)480,283
C6.15(D5⋊C8) = C3×Dic5⋊C8central extension (φ=1)480C6.15(D5:C8)480,284

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