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Extensions 1→N→G→Q→1 with N=C5⋊D5 and Q=C2×C4

Direct product G=N×Q with N=C5⋊D5 and Q=C2×C4
dρLabelID
C2×C4×C5⋊D5200C2xC4xC5:D5400,192

Semidirect products G=N:Q with N=C5⋊D5 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C5⋊D5⋊1(C2×C4) = C2×D5×F5φ: C2×C4/C2 → C4 ⊆ Out C5⋊D5408+C5:D5:1(C2xC4)400,209
C5⋊D5⋊2(C2×C4) = C2×D5⋊F5φ: C2×C4/C2 → C22 ⊆ Out C5⋊D5208+C5:D5:2(C2xC4)400,210
C5⋊D5⋊3(C2×C4) = C4×D52φ: C2×C4/C4 → C2 ⊆ Out C5⋊D5404C5:D5:3(C2xC4)400,169
C5⋊D5⋊4(C2×C4) = C2×Dic5⋊2D5φ: C2×C4/C22 → C2 ⊆ Out C5⋊D540C5:D5:4(C2xC4)400,175
C5⋊D5⋊5(C2×C4) = C22×C5⋊F5φ: C2×C4/C22 → C2 ⊆ Out C5⋊D5100C5:D5:5(C2xC4)400,216
C5⋊D5⋊6(C2×C4) = C22×C52⋊C4φ: C2×C4/C22 → C2 ⊆ Out C5⋊D540C5:D5:6(C2xC4)400,217

Non-split extensions G=N.Q with N=C5⋊D5 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C5⋊D5.1(C2×C4) = F52φ: C2×C4/C1 → C2×C4 ⊆ Out C5⋊D52016+C5:D5.1(C2xC4)400,205
C5⋊D5.2(C2×C4) = C52⋊M4(2)φ: C2×C4/C1 → C2×C4 ⊆ Out C5⋊D5108+C5:D5.2(C2xC4)400,206
C5⋊D5.3(C2×C4) = C2×C52⋊C8φ: C2×C4/C2 → C4 ⊆ Out C5⋊D5208+C5:D5.3(C2xC4)400,208
C5⋊D5.4(C2×C4) = C52⋊3C42φ: C2×C4/C2 → C22 ⊆ Out C5⋊D5208+C5:D5.4(C2xC4)400,124
C5⋊D5.5(C2×C4) = D52⋊C4φ: C2×C4/C2 → C22 ⊆ Out C5⋊D5204+C5:D5.5(C2xC4)400,129
C5⋊D5.6(C2×C4) = C2.D5≀C2φ: C2×C4/C2 → C22 ⊆ Out C5⋊D5204C5:D5.6(C2xC4)400,130
C5⋊D5.7(C2×C4) = (C5×C10).Q8φ: C2×C4/C2 → C22 ⊆ Out C5⋊D5208+C5:D5.7(C2xC4)400,134
C5⋊D5.8(C2×C4) = C4×C5⋊F5φ: C2×C4/C4 → C2 ⊆ Out C5⋊D5100C5:D5.8(C2xC4)400,151
C5⋊D5.9(C2×C4) = C4×C52⋊C4φ: C2×C4/C4 → C2 ⊆ Out C5⋊D5404C5:D5.9(C2xC4)400,158

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