# Extensions 1→N→G→Q→1 with N=C4 and Q=C22×C8

Direct product G=N×Q with N=C4 and Q=C22×C8
dρLabelID
C22×C4×C8128C2^2xC4xC8128,1601

Semidirect products G=N:Q with N=C4 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C41(C22×C8) = D4×C2×C8φ: C22×C8/C2×C8C2 ⊆ Aut C464C4:1(C2^2xC8)128,1658
C42(C22×C8) = C22×C4⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C4128C4:2(C2^2xC8)128,1634

Non-split extensions G=N.Q with N=C4 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C4.1(C22×C8) = C2×D4⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.1(C2^2xC8)128,206
C4.2(C22×C8) = C2×Q8⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C4128C4.2(C2^2xC8)128,207
C4.3(C22×C8) = C42.455D4φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.3(C2^2xC8)128,208
C4.4(C22×C8) = C42.397D4φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.4(C2^2xC8)128,209
C4.5(C22×C8) = C42.398D4φ: C22×C8/C2×C8C2 ⊆ Aut C432C4.5(C2^2xC8)128,210
C4.6(C22×C8) = C42.399D4φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.6(C2^2xC8)128,211
C4.7(C22×C8) = C8×D8φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.7(C2^2xC8)128,307
C4.8(C22×C8) = C8×SD16φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.8(C2^2xC8)128,308
C4.9(C22×C8) = C8×Q16φ: C22×C8/C2×C8C2 ⊆ Aut C4128C4.9(C2^2xC8)128,309
C4.10(C22×C8) = SD16⋊C8φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.10(C2^2xC8)128,310
C4.11(C22×C8) = Q165C8φ: C22×C8/C2×C8C2 ⊆ Aut C4128C4.11(C2^2xC8)128,311
C4.12(C22×C8) = D85C8φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.12(C2^2xC8)128,312
C4.13(C22×C8) = C2×D4.C8φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.13(C2^2xC8)128,848
C4.14(C22×C8) = M5(2)⋊12C22φ: C22×C8/C2×C8C2 ⊆ Aut C4324C4.14(C2^2xC8)128,849
C4.15(C22×C8) = C16○D8φ: C22×C8/C2×C8C2 ⊆ Aut C4322C4.15(C2^2xC8)128,902
C4.16(C22×C8) = D8.C8φ: C22×C8/C2×C8C2 ⊆ Aut C4324C4.16(C2^2xC8)128,903
C4.17(C22×C8) = Q8×C2×C8φ: C22×C8/C2×C8C2 ⊆ Aut C4128C4.17(C2^2xC8)128,1690
C4.18(C22×C8) = C8×C4○D4φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.18(C2^2xC8)128,1696
C4.19(C22×C8) = C42.691C23φ: C22×C8/C2×C8C2 ⊆ Aut C432C4.19(C2^2xC8)128,1704
C4.20(C22×C8) = C42.695C23φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.20(C2^2xC8)128,1714
C4.21(C22×C8) = C42.697C23φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.21(C2^2xC8)128,1720
C4.22(C22×C8) = C2×D4○C16φ: C22×C8/C2×C8C2 ⊆ Aut C464C4.22(C2^2xC8)128,2138
C4.23(C22×C8) = Q8○M5(2)φ: C22×C8/C2×C8C2 ⊆ Aut C4324C4.23(C2^2xC8)128,2139
C4.24(C22×C8) = C2×C82C8φ: C22×C8/C22×C4C2 ⊆ Aut C4128C4.24(C2^2xC8)128,294
C4.25(C22×C8) = C2×C81C8φ: C22×C8/C22×C4C2 ⊆ Aut C4128C4.25(C2^2xC8)128,295
C4.26(C22×C8) = C42.42Q8φ: C22×C8/C22×C4C2 ⊆ Aut C464C4.26(C2^2xC8)128,296
C4.27(C22×C8) = M4(2)⋊1C8φ: C22×C8/C22×C4C2 ⊆ Aut C464C4.27(C2^2xC8)128,297
C4.28(C22×C8) = C2×C8.C8φ: C22×C8/C22×C4C2 ⊆ Aut C432C4.28(C2^2xC8)128,884
C4.29(C22×C8) = M4(2).1C8φ: C22×C8/C22×C4C2 ⊆ Aut C4324C4.29(C2^2xC8)128,885
C4.30(C22×C8) = C2×C42.12C4φ: C22×C8/C22×C4C2 ⊆ Aut C464C4.30(C2^2xC8)128,1649
C4.31(C22×C8) = C2×C8⋊C8central extension (φ=1)128C4.31(C2^2xC8)128,180
C4.32(C22×C8) = C8×M4(2)central extension (φ=1)64C4.32(C2^2xC8)128,181
C4.33(C22×C8) = C82⋊C2central extension (φ=1)64C4.33(C2^2xC8)128,182
C4.34(C22×C8) = C2×C165C4central extension (φ=1)128C4.34(C2^2xC8)128,838
C4.35(C22×C8) = C4×M5(2)central extension (φ=1)64C4.35(C2^2xC8)128,839
C4.36(C22×C8) = C162M5(2)central extension (φ=1)64C4.36(C2^2xC8)128,840
C4.37(C22×C8) = C2×M6(2)central extension (φ=1)64C4.37(C2^2xC8)128,989
C4.38(C22×C8) = D4○C32central extension (φ=1)642C4.38(C2^2xC8)128,990
C4.39(C22×C8) = C22×M5(2)central extension (φ=1)64C4.39(C2^2xC8)128,2137

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