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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:D5480,724

Semidirect products G=N:Q with N=C6 and Q=D4⋊D5
extensionφ:Q→Aut NdρLabelID
C6⋊1(D4⋊D5) = C2×C5⋊D24φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C6240C6:1(D4:D5)480,378
C6⋊2(D4⋊D5) = C2×C15⋊D8φ: D4⋊D5/D20 → C2 ⊆ Aut C6240C6:2(D4:D5)480,372
C6⋊3(D4⋊D5) = C2×D4⋊D15φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C6240C6:3(D4:D5)480,896

Non-split extensions G=N.Q with N=C6 and Q=D4⋊D5
extensionφ:Q→Aut NdρLabelID
C6.1(D4⋊D5) = C5⋊D48φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C62404+C6.1(D4:D5)480,15
C6.2(D4⋊D5) = D24.D5φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C62404-C6.2(D4:D5)480,20
C6.3(D4⋊D5) = Dic12⋊D5φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C62404+C6.3(D4:D5)480,21
C6.4(D4⋊D5) = C5⋊Dic24φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C64804-C6.4(D4:D5)480,24
C6.5(D4⋊D5) = C10.D24φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C6240C6.5(D4:D5)480,43
C6.6(D4⋊D5) = D60⋊15C4φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C6240C6.6(D4:D5)480,45
C6.7(D4⋊D5) = C60.8Q8φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C6480C6.7(D4:D5)480,64
C6.8(D4⋊D5) = C15⋊D16φ: D4⋊D5/D20 → C2 ⊆ Aut C62404C6.8(D4:D5)480,13
C6.9(D4⋊D5) = C40.D6φ: D4⋊D5/D20 → C2 ⊆ Aut C62404C6.9(D4:D5)480,16
C6.10(D4⋊D5) = C15⋊SD32φ: D4⋊D5/D20 → C2 ⊆ Aut C62404C6.10(D4:D5)480,17
C6.11(D4⋊D5) = C15⋊Q32φ: D4⋊D5/D20 → C2 ⊆ Aut C64804C6.11(D4:D5)480,22
C6.12(D4⋊D5) = C30.D8φ: D4⋊D5/D20 → C2 ⊆ Aut C6240C6.12(D4:D5)480,40
C6.13(D4⋊D5) = D12⋊Dic5φ: D4⋊D5/D20 → C2 ⊆ Aut C6240C6.13(D4:D5)480,42
C6.14(D4⋊D5) = C30.20D8φ: D4⋊D5/D20 → C2 ⊆ Aut C6480C6.14(D4:D5)480,65
C6.15(D4⋊D5) = C60.1Q8φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C6480C6.15(D4:D5)480,167
C6.16(D4⋊D5) = D60⋊9C4φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C6240C6.16(D4:D5)480,169
C6.17(D4⋊D5) = C15⋊7D16φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C62404+C6.17(D4:D5)480,186
C6.18(D4⋊D5) = D8.D15φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C62404-C6.18(D4:D5)480,187
C6.19(D4⋊D5) = C8.6D30φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C62404+C6.19(D4:D5)480,188
C6.20(D4⋊D5) = C15⋊7Q32φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C64804-C6.20(D4:D5)480,189
C6.21(D4⋊D5) = D4⋊Dic15φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C6240C6.21(D4:D5)480,192
C6.22(D4⋊D5) = C3×C10.D8central extension (φ=1)480C6.22(D4:D5)480,85
C6.23(D4⋊D5) = C3×D20⋊6C4central extension (φ=1)240C6.23(D4:D5)480,87
C6.24(D4⋊D5) = C3×C5⋊D16central extension (φ=1)2404C6.24(D4:D5)480,104
C6.25(D4⋊D5) = C3×D8.D5central extension (φ=1)2404C6.25(D4:D5)480,105
C6.26(D4⋊D5) = C3×C5⋊SD32central extension (φ=1)2404C6.26(D4:D5)480,106
C6.27(D4⋊D5) = C3×C5⋊Q32central extension (φ=1)4804C6.27(D4:D5)480,107
C6.28(D4⋊D5) = C3×D4⋊Dic5central extension (φ=1)240C6.28(D4:D5)480,110

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