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Extensions 1→N→G→Q→1 with N=C4 and Q=C2.C42

Direct product G=N×Q with N=C4 and Q=C2.C42
dρLabelID
C4×C2.C42128C4xC2.C4^2128,164

Semidirect products G=N:Q with N=C4 and Q=C2.C42
extensionφ:Q→Aut NdρLabelID
C4⋊(C2.C42) = C24.625C23φ: C2.C42/C22×C4 → C2 ⊆ Aut C4128C4:(C2.C4^2)128,167

Non-split extensions G=N.Q with N=C4 and Q=C2.C42
extensionφ:Q→Aut NdρLabelID
C4.1(C2.C42) = C8.7C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C4128C4.1(C2.C4^2)128,112
C4.2(C2.C42) = C8.8C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.2(C2.C4^2)128,113
C4.3(C2.C42) = C8.9C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.3(C2.C4^2)128,114
C4.4(C2.C42) = C8.11C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.4(C2.C4^2)128,115
C4.5(C2.C42) = C23.9D8φ: C2.C42/C22×C4 → C2 ⊆ Aut C4324C4.5(C2.C4^2)128,116
C4.6(C2.C42) = C8.13C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C4324C4.6(C2.C4^2)128,117
C4.7(C2.C42) = C8.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.7(C2.C4^2)128,118
C4.8(C2.C42) = C8.2C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.8(C2.C4^2)128,119
C4.9(C2.C42) = M5(2).C4φ: C2.C42/C22×C4 → C2 ⊆ Aut C4324C4.9(C2.C4^2)128,120
C4.10(C2.C42) = C8.4C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C4324C4.10(C2.C4^2)128,121
C4.11(C2.C42) = C23.28C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.11(C2.C4^2)128,460
C4.12(C2.C42) = C23.29C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.12(C2.C4^2)128,461
C4.13(C2.C42) = C2×C4.9C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.13(C2.C4^2)128,462
C4.14(C2.C42) = C2×C4.10C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.14(C2.C4^2)128,463
C4.15(C2.C42) = C2×C42⋊6C4φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.15(C2.C4^2)128,464
C4.16(C2.C42) = C24.63D4φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.16(C2.C4^2)128,465
C4.17(C2.C42) = C2×C22.4Q16φ: C2.C42/C22×C4 → C2 ⊆ Aut C4128C4.17(C2.C4^2)128,466
C4.18(C2.C42) = C24.152D4φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.18(C2.C4^2)128,468
C4.19(C2.C42) = C2×C4.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.19(C2.C4^2)128,469
C4.20(C2.C42) = C24.7Q8φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.20(C2.C4^2)128,470
C4.21(C2.C42) = C24.162C23φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.21(C2.C4^2)128,472
C4.22(C2.C42) = C2×C22.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C464C4.22(C2.C4^2)128,473
C4.23(C2.C42) = C2×M4(2)⋊4C4φ: C2.C42/C22×C4 → C2 ⊆ Aut C432C4.23(C2.C4^2)128,475
C4.24(C2.C42) = C22.7M5(2)central extension (φ=1)128C4.24(C2.C4^2)128,106
C4.25(C2.C42) = C42.2C8central extension (φ=1)32C4.25(C2.C4^2)128,107
C4.26(C2.C42) = C42.7C8central extension (φ=1)32C4.26(C2.C4^2)128,108
C4.27(C2.C42) = M5(2)⋊C4central extension (φ=1)64C4.27(C2.C4^2)128,109
C4.28(C2.C42) = M4(2).C8central extension (φ=1)324C4.28(C2.C4^2)128,110
C4.29(C2.C42) = M5(2)⋊7C4central extension (φ=1)64C4.29(C2.C4^2)128,111
C4.30(C2.C42) = C2×C22.7C42central extension (φ=1)128C4.30(C2.C4^2)128,459
C4.31(C2.C42) = C24.132D4central extension (φ=1)64C4.31(C2.C4^2)128,467
C4.32(C2.C42) = C23.15C42central extension (φ=1)32C4.32(C2.C4^2)128,474

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