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

Direct product G=N×Q with N=C6 and Q=C4⋊1D4
dρLabelID
C6×C4⋊1D496C6xC4:1D4192,1419

Semidirect products G=N:Q with N=C6 and Q=C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4⋊1D4) = C2×C4⋊D12φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6:1(C4:1D4)192,1034
C6⋊2(C4⋊1D4) = C2×C12⋊3D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6:2(C4:1D4)192,1362

Non-split extensions G=N.Q with N=C6 and Q=C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C6.1(C4⋊1D4) = (C2×C12)⋊5D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.1(C4:1D4)192,230
C6.2(C4⋊1D4) = (C2×C12).33D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.2(C4:1D4)192,236
C6.3(C4⋊1D4) = C8⋊5D12φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.3(C4:1D4)192,252
C6.4(C4⋊1D4) = C12⋊4D8φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.4(C4:1D4)192,254
C6.5(C4⋊1D4) = C8.8D12φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.5(C4:1D4)192,255
C6.6(C4⋊1D4) = C12⋊4Q16φ: C4⋊1D4/C42 → C2 ⊆ Aut C6192C6.6(C4:1D4)192,258
C6.7(C4⋊1D4) = C8⋊D12φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.7(C4:1D4)192,271
C6.8(C4⋊1D4) = C8.D12φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.8(C4:1D4)192,274
C6.9(C4⋊1D4) = C42⋊10Dic3φ: C4⋊1D4/C42 → C2 ⊆ Aut C6192C6.9(C4:1D4)192,494
C6.10(C4⋊1D4) = (C2×C4)⋊6D12φ: C4⋊1D4/C42 → C2 ⊆ Aut C696C6.10(C4:1D4)192,498
C6.11(C4⋊1D4) = C24.18D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.11(C4:1D4)192,508
C6.12(C4⋊1D4) = C24.24D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.12(C4:1D4)192,516
C6.13(C4⋊1D4) = C23⋊3D12φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.13(C4:1D4)192,519
C6.14(C4⋊1D4) = (C4×Dic3)⋊8C4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C6192C6.14(C4:1D4)192,534
C6.15(C4⋊1D4) = (C2×D12)⋊10C4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.15(C4:1D4)192,547
C6.16(C4⋊1D4) = (C2×C12).290D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.16(C4:1D4)192,552
C6.17(C4⋊1D4) = C42.64D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.17(C4:1D4)192,617
C6.18(C4⋊1D4) = C42.214D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.18(C4:1D4)192,618
C6.19(C4⋊1D4) = C42.65D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.19(C4:1D4)192,619
C6.20(C4⋊1D4) = C12⋊D8φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.20(C4:1D4)192,632
C6.21(C4⋊1D4) = C42.74D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.21(C4:1D4)192,633
C6.22(C4⋊1D4) = C12⋊4SD16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.22(C4:1D4)192,635
C6.23(C4⋊1D4) = C12⋊6SD16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.23(C4:1D4)192,644
C6.24(C4⋊1D4) = C42.80D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.24(C4:1D4)192,645
C6.25(C4⋊1D4) = C12⋊3Q16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C6192C6.25(C4:1D4)192,651
C6.26(C4⋊1D4) = C24⋊5D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.26(C4:1D4)192,710
C6.27(C4⋊1D4) = C24⋊11D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.27(C4:1D4)192,713
C6.28(C4⋊1D4) = C24.22D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.28(C4:1D4)192,714
C6.29(C4⋊1D4) = C24.31D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.29(C4:1D4)192,726
C6.30(C4⋊1D4) = C24.43D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.30(C4:1D4)192,727
C6.31(C4⋊1D4) = C24⋊15D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.31(C4:1D4)192,734
C6.32(C4⋊1D4) = C24⋊9D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.32(C4:1D4)192,735
C6.33(C4⋊1D4) = C24.26D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C6192C6.33(C4:1D4)192,742
C6.34(C4⋊1D4) = C24.37D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.34(C4:1D4)192,749
C6.35(C4⋊1D4) = C24.28D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.35(C4:1D4)192,750
C6.36(C4⋊1D4) = C24.30D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.36(C4:1D4)192,780
C6.37(C4⋊1D4) = C24.32D6φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C696C6.37(C4:1D4)192,782
C6.38(C4⋊1D4) = C3×C42⋊9C4central extension (φ=1)192C6.38(C4:1D4)192,817
C6.39(C4⋊1D4) = C3×C24.3C22central extension (φ=1)96C6.39(C4:1D4)192,823
C6.40(C4⋊1D4) = C3×C23⋊2D4central extension (φ=1)96C6.40(C4:1D4)192,825
C6.41(C4⋊1D4) = C3×C23.4Q8central extension (φ=1)96C6.41(C4:1D4)192,832
C6.42(C4⋊1D4) = C3×C8⋊5D4central extension (φ=1)96C6.42(C4:1D4)192,925
C6.43(C4⋊1D4) = C3×C8⋊4D4central extension (φ=1)96C6.43(C4:1D4)192,926
C6.44(C4⋊1D4) = C3×C4⋊Q16central extension (φ=1)192C6.44(C4:1D4)192,927
C6.45(C4⋊1D4) = C3×C8.12D4central extension (φ=1)96C6.45(C4:1D4)192,928
C6.46(C4⋊1D4) = C3×C8⋊3D4central extension (φ=1)96C6.46(C4:1D4)192,929
C6.47(C4⋊1D4) = C3×C8.2D4central extension (φ=1)96C6.47(C4:1D4)192,930

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