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Extensions 1→N→G→Q→1 with N=C10 and Q=C42⋊2C2

Direct product G=N×Q with N=C10 and Q=C42⋊2C2
dρLabelID
C10×C42⋊2C2160C10xC4^2:2C2320,1530

Semidirect products G=N:Q with N=C10 and Q=C42⋊2C2
extensionφ:Q→Aut NdρLabelID
C10⋊1(C42⋊2C2) = C2×C42⋊2D5φ: C42⋊2C2/C42 → C2 ⊆ Aut C10160C10:1(C4^2:2C2)320,1150
C10⋊2(C42⋊2C2) = C2×C23.D10φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10160C10:2(C4^2:2C2)320,1154
C10⋊3(C42⋊2C2) = C2×C4⋊C4⋊D5φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10:3(C4^2:2C2)320,1184

Non-split extensions G=N.Q with N=C10 and Q=C42⋊2C2
extensionφ:Q→Aut NdρLabelID
C10.1(C42⋊2C2) = (C2×Dic5).Q8φ: C42⋊2C2/C42 → C2 ⊆ Aut C10320C10.1(C4^2:2C2)320,285
C10.2(C42⋊2C2) = (C22×D5).Q8φ: C42⋊2C2/C42 → C2 ⊆ Aut C10160C10.2(C4^2:2C2)320,303
C10.3(C42⋊2C2) = C10.92(C4×D4)φ: C42⋊2C2/C42 → C2 ⊆ Aut C10320C10.3(C4^2:2C2)320,560
C10.4(C42⋊2C2) = C42⋊5Dic5φ: C42⋊2C2/C42 → C2 ⊆ Aut C10320C10.4(C4^2:2C2)320,564
C10.5(C42⋊2C2) = (C2×C42)⋊D5φ: C42⋊2C2/C42 → C2 ⊆ Aut C10160C10.5(C4^2:2C2)320,567
C10.6(C42⋊2C2) = C5⋊2(C42⋊5C4)φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10320C10.6(C4^2:2C2)320,278
C10.7(C42⋊2C2) = C10.51(C4×D4)φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10320C10.7(C4^2:2C2)320,279
C10.8(C42⋊2C2) = C2.(C4×D20)φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10320C10.8(C4^2:2C2)320,280
C10.9(C42⋊2C2) = C10.52(C4×D4)φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10320C10.9(C4^2:2C2)320,282
C10.10(C42⋊2C2) = (C2×C20).28D4φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10320C10.10(C4^2:2C2)320,286
C10.11(C42⋊2C2) = C24.3D10φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10160C10.11(C4^2:2C2)320,571
C10.12(C42⋊2C2) = C24.4D10φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10160C10.12(C4^2:2C2)320,572
C10.13(C42⋊2C2) = C24.6D10φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10160C10.13(C4^2:2C2)320,575
C10.14(C42⋊2C2) = C24.8D10φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10160C10.14(C4^2:2C2)320,578
C10.15(C42⋊2C2) = C24.9D10φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10160C10.15(C4^2:2C2)320,579
C10.16(C42⋊2C2) = C23.14D20φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C10160C10.16(C4^2:2C2)320,580
C10.17(C42⋊2C2) = C4⋊Dic5⋊15C4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10320C10.17(C4^2:2C2)320,281
C10.18(C42⋊2C2) = (C2×C4).Dic10φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10320C10.18(C4^2:2C2)320,287
C10.19(C42⋊2C2) = (C22×C4).D10φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10320C10.19(C4^2:2C2)320,289
C10.20(C42⋊2C2) = C10.54(C4×D4)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10.20(C4^2:2C2)320,296
C10.21(C42⋊2C2) = C10.55(C4×D4)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10.21(C4^2:2C2)320,297
C10.22(C42⋊2C2) = (C2×C4).21D20φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10.22(C4^2:2C2)320,301
C10.23(C42⋊2C2) = C10.(C4⋊D4)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10.23(C4^2:2C2)320,302
C10.24(C42⋊2C2) = C10.97(C4×D4)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10320C10.24(C4^2:2C2)320,605
C10.25(C42⋊2C2) = C4⋊C4⋊5Dic5φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10320C10.25(C4^2:2C2)320,608
C10.26(C42⋊2C2) = (C2×C20).288D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10320C10.26(C4^2:2C2)320,609
C10.27(C42⋊2C2) = (C2×C20).55D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10320C10.27(C4^2:2C2)320,613
C10.28(C42⋊2C2) = C10.90(C4×D4)φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10.28(C4^2:2C2)320,617
C10.29(C42⋊2C2) = (C2×C20).290D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10.29(C4^2:2C2)320,620
C10.30(C42⋊2C2) = (C2×C20).56D4φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C10160C10.30(C4^2:2C2)320,621
C10.31(C42⋊2C2) = C5×C42⋊5C4central extension (φ=1)320C10.31(C4^2:2C2)320,884
C10.32(C42⋊2C2) = C5×C23.63C23central extension (φ=1)320C10.32(C4^2:2C2)320,888
C10.33(C42⋊2C2) = C5×C24.C22central extension (φ=1)160C10.33(C4^2:2C2)320,889
C10.34(C42⋊2C2) = C5×C23.Q8central extension (φ=1)160C10.34(C4^2:2C2)320,897
C10.35(C42⋊2C2) = C5×C23.11D4central extension (φ=1)160C10.35(C4^2:2C2)320,898
C10.36(C42⋊2C2) = C5×C23.83C23central extension (φ=1)320C10.36(C4^2:2C2)320,901
C10.37(C42⋊2C2) = C5×C23.84C23central extension (φ=1)320C10.37(C4^2:2C2)320,902

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