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Extensions 1→N→G→Q→1 with N=C4 and Q=C22×C12

Direct product G=N×Q with N=C4 and Q=C22×C12
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C4 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C4⋊1(C22×C12) = D4×C2×C12φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4:1(C2^2xC12)192,1404
C4⋊2(C22×C12) = C2×C6×C4⋊C4φ: C22×C12/C22×C6 → C2 ⊆ Aut C4192C4:2(C2^2xC12)192,1402

Non-split extensions G=N.Q with N=C4 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C4.1(C22×C12) = C6×D4⋊C4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.1(C2^2xC12)192,847
C4.2(C22×C12) = C6×Q8⋊C4φ: C22×C12/C2×C12 → C2 ⊆ Aut C4192C4.2(C2^2xC12)192,848
C4.3(C22×C12) = C3×C23.24D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.3(C2^2xC12)192,849
C4.4(C22×C12) = C3×C23.36D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.4(C2^2xC12)192,850
C4.5(C22×C12) = C3×C23.37D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C448C4.5(C2^2xC12)192,851
C4.6(C22×C12) = C3×C23.38D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.6(C2^2xC12)192,852
C4.7(C22×C12) = C6×C4≀C2φ: C22×C12/C2×C12 → C2 ⊆ Aut C448C4.7(C2^2xC12)192,853
C4.8(C22×C12) = C3×C42⋊C22φ: C22×C12/C2×C12 → C2 ⊆ Aut C4484C4.8(C2^2xC12)192,854
C4.9(C22×C12) = C12×D8φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.9(C2^2xC12)192,870
C4.10(C22×C12) = C12×SD16φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.10(C2^2xC12)192,871
C4.11(C22×C12) = C12×Q16φ: C22×C12/C2×C12 → C2 ⊆ Aut C4192C4.11(C2^2xC12)192,872
C4.12(C22×C12) = C3×SD16⋊C4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.12(C2^2xC12)192,873
C4.13(C22×C12) = C3×Q16⋊C4φ: C22×C12/C2×C12 → C2 ⊆ Aut C4192C4.13(C2^2xC12)192,874
C4.14(C22×C12) = C3×D8⋊C4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.14(C2^2xC12)192,875
C4.15(C22×C12) = C3×C8○D8φ: C22×C12/C2×C12 → C2 ⊆ Aut C4482C4.15(C2^2xC12)192,876
C4.16(C22×C12) = C3×C8.26D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C4484C4.16(C2^2xC12)192,877
C4.17(C22×C12) = Q8×C2×C12φ: C22×C12/C2×C12 → C2 ⊆ Aut C4192C4.17(C2^2xC12)192,1405
C4.18(C22×C12) = C12×C4○D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.18(C2^2xC12)192,1406
C4.19(C22×C12) = C3×C22.11C24φ: C22×C12/C2×C12 → C2 ⊆ Aut C448C4.19(C2^2xC12)192,1407
C4.20(C22×C12) = C3×C23.32C23φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.20(C2^2xC12)192,1408
C4.21(C22×C12) = C3×C23.33C23φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.21(C2^2xC12)192,1409
C4.22(C22×C12) = C6×C8○D4φ: C22×C12/C2×C12 → C2 ⊆ Aut C496C4.22(C2^2xC12)192,1456
C4.23(C22×C12) = C3×Q8○M4(2)φ: C22×C12/C2×C12 → C2 ⊆ Aut C4484C4.23(C2^2xC12)192,1457
C4.24(C22×C12) = C6×C4.Q8φ: C22×C12/C22×C6 → C2 ⊆ Aut C4192C4.24(C2^2xC12)192,858
C4.25(C22×C12) = C6×C2.D8φ: C22×C12/C22×C6 → C2 ⊆ Aut C4192C4.25(C2^2xC12)192,859
C4.26(C22×C12) = C3×C23.25D4φ: C22×C12/C22×C6 → C2 ⊆ Aut C496C4.26(C2^2xC12)192,860
C4.27(C22×C12) = C3×M4(2)⋊C4φ: C22×C12/C22×C6 → C2 ⊆ Aut C496C4.27(C2^2xC12)192,861
C4.28(C22×C12) = C6×C8.C4φ: C22×C12/C22×C6 → C2 ⊆ Aut C496C4.28(C2^2xC12)192,862
C4.29(C22×C12) = C3×M4(2).C4φ: C22×C12/C22×C6 → C2 ⊆ Aut C4484C4.29(C2^2xC12)192,863
C4.30(C22×C12) = C6×C42⋊C2φ: C22×C12/C22×C6 → C2 ⊆ Aut C496C4.30(C2^2xC12)192,1403
C4.31(C22×C12) = C2×C6×M4(2)φ: C22×C12/C22×C6 → C2 ⊆ Aut C496C4.31(C2^2xC12)192,1455
C4.32(C22×C12) = C6×C8⋊C4central extension (φ=1)192C4.32(C2^2xC12)192,836
C4.33(C22×C12) = C12×M4(2)central extension (φ=1)96C4.33(C2^2xC12)192,837
C4.34(C22×C12) = C3×C8○2M4(2)central extension (φ=1)96C4.34(C2^2xC12)192,838
C4.35(C22×C12) = C6×M5(2)central extension (φ=1)96C4.35(C2^2xC12)192,936
C4.36(C22×C12) = C3×D4○C16central extension (φ=1)962C4.36(C2^2xC12)192,937

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