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Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C2×C6

Direct product G=N×Q with N=C4○D4 and Q=C2×C6
dρLabelID
C2×C6×C4○D496C2xC6xC4oD4192,1533

Semidirect products G=N:Q with N=C4○D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C4○D4⋊(C2×C6) = C2×D4.A4φ: C2×C6/C2 → C6 ⊆ Out C4○D432C4oD4:(C2xC6)192,1503
C4○D4⋊2(C2×C6) = C3×D4○D8φ: C2×C6/C3 → C22 ⊆ Out C4○D4484C4oD4:2(C2xC6)192,1465
C4○D4⋊3(C2×C6) = C3×D4○SD16φ: C2×C6/C3 → C22 ⊆ Out C4○D4484C4oD4:3(C2xC6)192,1466
C4○D4⋊4(C2×C6) = C22×C4.A4φ: C2×C6/C22 → C3 ⊆ Out C4○D464C4oD4:4(C2xC6)192,1500
C4○D4⋊5(C2×C6) = C6×C4○D8φ: C2×C6/C6 → C2 ⊆ Out C4○D496C4oD4:5(C2xC6)192,1461
C4○D4⋊6(C2×C6) = C6×C8⋊C22φ: C2×C6/C6 → C2 ⊆ Out C4○D448C4oD4:6(C2xC6)192,1462
C4○D4⋊7(C2×C6) = C3×D8⋊C22φ: C2×C6/C6 → C2 ⊆ Out C4○D4484C4oD4:7(C2xC6)192,1464
C4○D4⋊8(C2×C6) = C6×2+ 1+4φ: C2×C6/C6 → C2 ⊆ Out C4○D448C4oD4:8(C2xC6)192,1534
C4○D4⋊9(C2×C6) = C6×2- 1+4φ: C2×C6/C6 → C2 ⊆ Out C4○D496C4oD4:9(C2xC6)192,1535
C4○D4⋊10(C2×C6) = C3×C2.C25φ: C2×C6/C6 → C2 ⊆ Out C4○D4484C4oD4:10(C2xC6)192,1536

Non-split extensions G=N.Q with N=C4○D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C4○D4.1(C2×C6) = Q16.A4φ: C2×C6/C2 → C6 ⊆ Out C4○D4484+C4oD4.1(C2xC6)192,1017
C4○D4.2(C2×C6) = SD16.A4φ: C2×C6/C2 → C6 ⊆ Out C4○D4324C4oD4.2(C2xC6)192,1018
C4○D4.3(C2×C6) = D8.A4φ: C2×C6/C2 → C6 ⊆ Out C4○D4324-C4oD4.3(C2xC6)192,1019
C4○D4.4(C2×C6) = C2×Q8.A4φ: C2×C6/C2 → C6 ⊆ Out C4○D448C4oD4.4(C2xC6)192,1502
C4○D4.5(C2×C6) = 2- 1+4⋊3C6φ: C2×C6/C2 → C6 ⊆ Out C4○D4324C4oD4.5(C2xC6)192,1504
C4○D4.6(C2×C6) = C3×D4⋊4D4φ: C2×C6/C3 → C22 ⊆ Out C4○D4244C4oD4.6(C2xC6)192,886
C4○D4.7(C2×C6) = C3×D4.8D4φ: C2×C6/C3 → C22 ⊆ Out C4○D4484C4oD4.7(C2xC6)192,887
C4○D4.8(C2×C6) = C3×D4.9D4φ: C2×C6/C3 → C22 ⊆ Out C4○D4484C4oD4.8(C2xC6)192,888
C4○D4.9(C2×C6) = C3×D4.10D4φ: C2×C6/C3 → C22 ⊆ Out C4○D4484C4oD4.9(C2xC6)192,889
C4○D4.10(C2×C6) = C3×Q8○D8φ: C2×C6/C3 → C22 ⊆ Out C4○D4964C4oD4.10(C2xC6)192,1467
C4○D4.11(C2×C6) = C2×C8.A4φ: C2×C6/C22 → C3 ⊆ Out C4○D464C4oD4.11(C2xC6)192,1012
C4○D4.12(C2×C6) = M4(2).A4φ: C2×C6/C22 → C3 ⊆ Out C4○D4324C4oD4.12(C2xC6)192,1013
C4○D4.13(C2×C6) = C6×C4≀C2φ: C2×C6/C6 → C2 ⊆ Out C4○D448C4oD4.13(C2xC6)192,853
C4○D4.14(C2×C6) = C3×C42⋊C22φ: C2×C6/C6 → C2 ⊆ Out C4○D4484C4oD4.14(C2xC6)192,854
C4○D4.15(C2×C6) = C3×C8○D8φ: C2×C6/C6 → C2 ⊆ Out C4○D4482C4oD4.15(C2xC6)192,876
C4○D4.16(C2×C6) = C3×C8.26D4φ: C2×C6/C6 → C2 ⊆ Out C4○D4484C4oD4.16(C2xC6)192,877
C4○D4.17(C2×C6) = C3×D4.3D4φ: C2×C6/C6 → C2 ⊆ Out C4○D4484C4oD4.17(C2xC6)192,904
C4○D4.18(C2×C6) = C3×D4.4D4φ: C2×C6/C6 → C2 ⊆ Out C4○D4484C4oD4.18(C2xC6)192,905
C4○D4.19(C2×C6) = C3×D4.5D4φ: C2×C6/C6 → C2 ⊆ Out C4○D4964C4oD4.19(C2xC6)192,906
C4○D4.20(C2×C6) = C6×C8.C22φ: C2×C6/C6 → C2 ⊆ Out C4○D496C4oD4.20(C2xC6)192,1463
C4○D4.21(C2×C6) = C6×C8○D4φ: trivial image96C4oD4.21(C2xC6)192,1456
C4○D4.22(C2×C6) = C3×Q8○M4(2)φ: trivial image484C4oD4.22(C2xC6)192,1457

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