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Extensions 1→N→G→Q→1 with N=C6 and Q=D4⋊C4

Direct product G=N×Q with N=C6 and Q=D4⋊C4
dρLabelID
C6×D4⋊C496C6xD4:C4192,847

Semidirect products G=N:Q with N=C6 and Q=D4⋊C4
extensionφ:Q→Aut NdρLabelID
C6⋊1(D4⋊C4) = C2×C6.D8φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C696C6:1(D4:C4)192,524
C6⋊2(D4⋊C4) = C2×C2.D24φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C696C6:2(D4:C4)192,671
C6⋊3(D4⋊C4) = C2×D4⋊Dic3φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C696C6:3(D4:C4)192,773

Non-split extensions G=N.Q with N=C6 and Q=D4⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(D4⋊C4) = C6.C4≀C2φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C648C6.1(D4:C4)192,10
C6.2(D4⋊C4) = C12.47D8φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C6192C6.2(D4:C4)192,41
C6.3(D4⋊C4) = D12⋊2C8φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C696C6.3(D4:C4)192,42
C6.4(D4⋊C4) = D24⋊8C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C6484C6.4(D4:C4)192,47
C6.5(D4⋊C4) = C6.D16φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C696C6.5(D4:C4)192,50
C6.6(D4⋊C4) = C6.Q32φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C6192C6.6(D4:C4)192,51
C6.7(D4⋊C4) = D24.C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C6484+C6.7(D4:C4)192,54
C6.8(D4⋊C4) = C24.8D4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C6964-C6.8(D4:C4)192,55
C6.9(D4⋊C4) = Dic12.C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C6964C6.9(D4:C4)192,56
C6.10(D4⋊C4) = C4.17D24φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C696C6.10(D4:C4)192,18
C6.11(D4⋊C4) = C22.2D24φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C648C6.11(D4:C4)192,29
C6.12(D4⋊C4) = C4.D24φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C696C6.12(D4:C4)192,44
C6.13(D4⋊C4) = C12.2D8φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C6192C6.13(D4:C4)192,45
C6.14(D4⋊C4) = C2.Dic24φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C6192C6.14(D4:C4)192,62
C6.15(D4⋊C4) = C2.D48φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C696C6.15(D4:C4)192,68
C6.16(D4⋊C4) = D24.1C4φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C6962C6.16(D4:C4)192,69
C6.17(D4⋊C4) = M5(2)⋊S3φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C6484+C6.17(D4:C4)192,75
C6.18(D4⋊C4) = C12.4D8φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C6964-C6.18(D4:C4)192,76
C6.19(D4⋊C4) = D24⋊2C4φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C6484C6.19(D4:C4)192,77
C6.20(D4⋊C4) = C12.9C42φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C6192C6.20(D4:C4)192,110
C6.21(D4⋊C4) = C12.C42φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C6192C6.21(D4:C4)192,88
C6.22(D4⋊C4) = C12.57D8φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C696C6.22(D4:C4)192,93
C6.23(D4⋊C4) = (C6×D4)⋊C4φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C648C6.23(D4:C4)192,96
C6.24(D4⋊C4) = C12.9D8φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C696C6.24(D4:C4)192,103
C6.25(D4⋊C4) = C12.10D8φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C6192C6.25(D4:C4)192,106
C6.26(D4⋊C4) = D8⋊1Dic3φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C696C6.26(D4:C4)192,121
C6.27(D4⋊C4) = D8.Dic3φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C6484C6.27(D4:C4)192,122
C6.28(D4⋊C4) = C6.5Q32φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C6192C6.28(D4:C4)192,123
C6.29(D4⋊C4) = Q16.Dic3φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C6964C6.29(D4:C4)192,124
C6.30(D4⋊C4) = D8⋊2Dic3φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C6484C6.30(D4:C4)192,125
C6.31(D4⋊C4) = C24.41D4φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C6964C6.31(D4:C4)192,126
C6.32(D4⋊C4) = C3×D4⋊C8central extension (φ=1)96C6.32(D4:C4)192,131
C6.33(D4⋊C4) = C3×C22.SD16central extension (φ=1)48C6.33(D4:C4)192,133
C6.34(D4⋊C4) = C3×C4.D8central extension (φ=1)96C6.34(D4:C4)192,137
C6.35(D4⋊C4) = C3×C4.10D8central extension (φ=1)192C6.35(D4:C4)192,138
C6.36(D4⋊C4) = C3×C22.4Q16central extension (φ=1)192C6.36(D4:C4)192,146
C6.37(D4⋊C4) = C3×C2.D16central extension (φ=1)96C6.37(D4:C4)192,163
C6.38(D4⋊C4) = C3×C2.Q32central extension (φ=1)192C6.38(D4:C4)192,164
C6.39(D4⋊C4) = C3×D8.C4central extension (φ=1)962C6.39(D4:C4)192,165
C6.40(D4⋊C4) = C3×D8⋊2C4central extension (φ=1)484C6.40(D4:C4)192,166
C6.41(D4⋊C4) = C3×M5(2)⋊C2central extension (φ=1)484C6.41(D4:C4)192,167
C6.42(D4⋊C4) = C3×C8.17D4central extension (φ=1)964C6.42(D4:C4)192,168

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