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Extensions 1→N→G→Q→1 with N=C4 and Q=C4×Q8

Direct product G=N×Q with N=C4 and Q=C4×Q8
dρLabelID
Q8×C42128Q8xC4^2128,1004

Semidirect products G=N:Q with N=C4 and Q=C4×Q8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C4×Q8) = C4×C4⋊Q8φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4:1(C4xQ8)128,1039
C4⋊2(C4×Q8) = C23.247C24φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4:2(C4xQ8)128,1097
C4⋊3(C4×Q8) = Q8×C4⋊C4φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C4128C4:3(C4xQ8)128,1082

Non-split extensions G=N.Q with N=C4 and Q=C4×Q8
extensionφ:Q→Aut NdρLabelID
C4.1(C4×Q8) = C8.14C42φ: C4×Q8/C42 → C2 ⊆ Aut C432C4.1(C4xQ8)128,504
C4.2(C4×Q8) = C8.5C42φ: C4×Q8/C42 → C2 ⊆ Aut C432C4.2(C4xQ8)128,505
C4.3(C4×Q8) = C4×C4.Q8φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.3(C4xQ8)128,506
C4.4(C4×Q8) = C4×C2.D8φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.4(C4xQ8)128,507
C4.5(C4×Q8) = C8⋊C42φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.5(C4xQ8)128,508
C4.6(C4×Q8) = C8⋊7(C4⋊C4)φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.6(C4xQ8)128,673
C4.7(C4×Q8) = C8⋊5(C4⋊C4)φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.7(C4xQ8)128,674
C4.8(C4×Q8) = C4.(C4×Q8)φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.8(C4xQ8)128,675
C4.9(C4×Q8) = C8⋊(C4⋊C4)φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.9(C4xQ8)128,676
C4.10(C4×Q8) = C42.62Q8φ: C4×Q8/C42 → C2 ⊆ Aut C432C4.10(C4xQ8)128,677
C4.11(C4×Q8) = C42.28Q8φ: C4×Q8/C42 → C2 ⊆ Aut C432C4.11(C4xQ8)128,678
C4.12(C4×Q8) = C42.436D4φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.12(C4xQ8)128,722
C4.13(C4×Q8) = C42.437D4φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.13(C4xQ8)128,723
C4.14(C4×Q8) = C42.124D4φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.14(C4xQ8)128,724
C4.15(C4×Q8) = C42.125D4φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.15(C4xQ8)128,725
C4.16(C4×Q8) = C42⋊16Q8φ: C4×Q8/C42 → C2 ⊆ Aut C432C4.16(C4xQ8)128,726
C4.17(C4×Q8) = C42⋊Q8φ: C4×Q8/C42 → C2 ⊆ Aut C432C4.17(C4xQ8)128,727
C4.18(C4×Q8) = C4×C42.C2φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.18(C4xQ8)128,1037
C4.19(C4×Q8) = C42.33Q8φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.19(C4xQ8)128,1062
C4.20(C4×Q8) = C42⋊4Q8φ: C4×Q8/C42 → C2 ⊆ Aut C4128C4.20(C4xQ8)128,1063
C4.21(C4×Q8) = C42.286C23φ: C4×Q8/C42 → C2 ⊆ Aut C464C4.21(C4xQ8)128,1692
C4.22(C4×Q8) = C42.287C23φ: C4×Q8/C42 → C2 ⊆ Aut C464C4.22(C4xQ8)128,1693
C4.23(C4×Q8) = C2.D8⋊4C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.23(C4xQ8)128,650
C4.24(C4×Q8) = C4.Q8⋊9C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.24(C4xQ8)128,651
C4.25(C4×Q8) = C4.Q8⋊10C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.25(C4xQ8)128,652
C4.26(C4×Q8) = C2.D8⋊5C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.26(C4xQ8)128,653
C4.27(C4×Q8) = M4(2).3Q8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C432C4.27(C4xQ8)128,654
C4.28(C4×Q8) = M4(2)⋊7Q8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C432C4.28(C4xQ8)128,718
C4.29(C4×Q8) = C42.121D4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.29(C4xQ8)128,719
C4.30(C4×Q8) = C42.122D4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.30(C4xQ8)128,720
C4.31(C4×Q8) = C42.123D4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.31(C4xQ8)128,721
C4.32(C4×Q8) = C23.251C24φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.32(C4xQ8)128,1101
C4.33(C4×Q8) = C23.252C24φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C4128C4.33(C4xQ8)128,1102
C4.34(C4×Q8) = M4(2)⋊9Q8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C464C4.34(C4xQ8)128,1694
C4.35(C4×Q8) = C42.29Q8φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.35(C4xQ8)128,679
C4.36(C4×Q8) = C42.30Q8φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.36(C4xQ8)128,680
C4.37(C4×Q8) = C42.31Q8φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.37(C4xQ8)128,681
C4.38(C4×Q8) = C42.430D4φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C464C4.38(C4xQ8)128,682
C4.39(C4×Q8) = C23.237C24φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.39(C4xQ8)128,1087
C4.40(C4×Q8) = Q8×M4(2)φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C464C4.40(C4xQ8)128,1695
C4.41(C4×Q8) = C4×C4⋊C8central extension (φ=1)128C4.41(C4xQ8)128,498
C4.42(C4×Q8) = C43.7C2central extension (φ=1)128C4.42(C4xQ8)128,499
C4.43(C4×Q8) = C42.45Q8central extension (φ=1)128C4.43(C4xQ8)128,500
C4.44(C4×Q8) = C8×C4⋊C4central extension (φ=1)128C4.44(C4xQ8)128,501
C4.45(C4×Q8) = C4⋊C8⋊13C4central extension (φ=1)128C4.45(C4xQ8)128,502
C4.46(C4×Q8) = C4⋊C8⋊14C4central extension (φ=1)128C4.46(C4xQ8)128,503
C4.47(C4×Q8) = Q8×C16central extension (φ=1)128C4.47(C4xQ8)128,914
C4.48(C4×Q8) = C16⋊4Q8central extension (φ=1)128C4.48(C4xQ8)128,915
C4.49(C4×Q8) = C42⋊14Q8central extension (φ=1)128C4.49(C4xQ8)128,1027
C4.50(C4×Q8) = Q8×C2×C8central extension (φ=1)128C4.50(C4xQ8)128,1690
C4.51(C4×Q8) = C2×C8⋊4Q8central extension (φ=1)128C4.51(C4xQ8)128,1691

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