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Extensions 1→N→G→Q→1 with N=C10 and Q=C4.Q8

Direct product G=N×Q with N=C10 and Q=C4.Q8
dρLabelID
C10×C4.Q8320C10xC4.Q8320,926

Semidirect products G=N:Q with N=C10 and Q=C4.Q8
extensionφ:Q→Aut NdρLabelID
C10⋊(C4.Q8) = C2×C40⋊C4φ: C4.Q8/C8 → C4 ⊆ Aut C1080C10:(C4.Q8)320,1057
C10⋊2(C4.Q8) = C2×C20.Q8φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C10320C10:2(C4.Q8)320,590
C10⋊3(C4.Q8) = C2×C40⋊6C4φ: C4.Q8/C2×C8 → C2 ⊆ Aut C10320C10:3(C4.Q8)320,731

Non-split extensions G=N.Q with N=C10 and Q=C4.Q8
extensionφ:Q→Aut NdρLabelID
C10.1(C4.Q8) = C80⋊4C4φ: C4.Q8/C8 → C4 ⊆ Aut C10804C10.1(C4.Q8)320,185
C10.2(C4.Q8) = C80⋊5C4φ: C4.Q8/C8 → C4 ⊆ Aut C10804C10.2(C4.Q8)320,186
C10.3(C4.Q8) = C40⋊2C8φ: C4.Q8/C8 → C4 ⊆ Aut C10320C10.3(C4.Q8)320,219
C10.4(C4.Q8) = C20.26M4(2)φ: C4.Q8/C8 → C4 ⊆ Aut C10320C10.4(C4.Q8)320,221
C10.5(C4.Q8) = D10.10D8φ: C4.Q8/C8 → C4 ⊆ Aut C1080C10.5(C4.Q8)320,231
C10.6(C4.Q8) = C20.39SD16φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.6(C4.Q8)320,38
C10.7(C4.Q8) = C8.Dic10φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C10804C10.7(C4.Q8)320,45
C10.8(C4.Q8) = C40.6Q8φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C10804C10.8(C4.Q8)320,52
C10.9(C4.Q8) = C20.31C42φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.9(C4.Q8)320,87
C10.10(C4.Q8) = C40⋊6C8φ: C4.Q8/C2×C8 → C2 ⊆ Aut C10320C10.10(C4.Q8)320,15
C10.11(C4.Q8) = C40.Q8φ: C4.Q8/C2×C8 → C2 ⊆ Aut C10804C10.11(C4.Q8)320,71
C10.12(C4.Q8) = C20.39C42φ: C4.Q8/C2×C8 → C2 ⊆ Aut C10320C10.12(C4.Q8)320,109
C10.13(C4.Q8) = C5×C8⋊2C8central extension (φ=1)320C10.13(C4.Q8)320,139
C10.14(C4.Q8) = C5×C22.4Q16central extension (φ=1)320C10.14(C4.Q8)320,145
C10.15(C4.Q8) = C5×C8.Q8central extension (φ=1)804C10.15(C4.Q8)320,170

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