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Extensions 1→N→G→Q→1 with N=C10 and Q=C2.D8

Direct product G=N×Q with N=C10 and Q=C2.D8
dρLabelID
C10×C2.D8320C10xC2.D8320,927

Semidirect products G=N:Q with N=C10 and Q=C2.D8
extensionφ:Q→Aut NdρLabelID
C10⋊(C2.D8) = C2×D5.D8φ: C2.D8/C8 → C4 ⊆ Aut C1080C10:(C2.D8)320,1058
C10⋊2(C2.D8) = C2×C10.D8φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C10320C10:2(C2.D8)320,589
C10⋊3(C2.D8) = C2×C40⋊5C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C10320C10:3(C2.D8)320,732

Non-split extensions G=N.Q with N=C10 and Q=C2.D8
extensionφ:Q→Aut NdρLabelID
C10.1(C2.D8) = C80⋊2C4φ: C2.D8/C8 → C4 ⊆ Aut C10804C10.1(C2.D8)320,187
C10.2(C2.D8) = C80⋊3C4φ: C2.D8/C8 → C4 ⊆ Aut C10804C10.2(C2.D8)320,188
C10.3(C2.D8) = C16.F5φ: C2.D8/C8 → C4 ⊆ Aut C101604C10.3(C2.D8)320,189
C10.4(C2.D8) = C80.2C4φ: C2.D8/C8 → C4 ⊆ Aut C101604C10.4(C2.D8)320,190
C10.5(C2.D8) = C40⋊1C8φ: C2.D8/C8 → C4 ⊆ Aut C10320C10.5(C2.D8)320,220
C10.6(C2.D8) = Dic5.13D8φ: C2.D8/C8 → C4 ⊆ Aut C10320C10.6(C2.D8)320,222
C10.7(C2.D8) = D10.10D8φ: C2.D8/C8 → C4 ⊆ Aut C1080C10.7(C2.D8)320,231
C10.8(C2.D8) = C20.53D8φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C10320C10.8(C2.D8)320,37
C10.9(C2.D8) = C40.2Q8φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C10320C10.9(C2.D8)320,47
C10.10(C2.D8) = C10.SD32φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C10320C10.10(C2.D8)320,48
C10.11(C2.D8) = C40.7Q8φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C101604C10.11(C2.D8)320,51
C10.12(C2.D8) = C20.31C42φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C10320C10.12(C2.D8)320,87
C10.13(C2.D8) = C40⋊5C8φ: C2.D8/C2×C8 → C2 ⊆ Aut C10320C10.13(C2.D8)320,16
C10.14(C2.D8) = C80⋊13C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C10320C10.14(C2.D8)320,62
C10.15(C2.D8) = C80⋊14C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C10320C10.15(C2.D8)320,63
C10.16(C2.D8) = C80.6C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C101602C10.16(C2.D8)320,64
C10.17(C2.D8) = C20.39C42φ: C2.D8/C2×C8 → C2 ⊆ Aut C10320C10.17(C2.D8)320,109
C10.18(C2.D8) = C5×C8⋊1C8central extension (φ=1)320C10.18(C2.D8)320,140
C10.19(C2.D8) = C5×C22.4Q16central extension (φ=1)320C10.19(C2.D8)320,145
C10.20(C2.D8) = C5×C16⋊3C4central extension (φ=1)320C10.20(C2.D8)320,171
C10.21(C2.D8) = C5×C16⋊4C4central extension (φ=1)320C10.21(C2.D8)320,172
C10.22(C2.D8) = C5×C8.4Q8central extension (φ=1)1602C10.22(C2.D8)320,173

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