Extensions 1→N→G→Q→1 with N=D10 and Q=C4

Direct product G=N×Q with N=D10 and Q=C4
dρLabelID
C2×C4×D540C2xC4xD580,36

Semidirect products G=N:Q with N=D10 and Q=C4
extensionφ:Q→Out NdρLabelID
D101C4 = D10⋊C4φ: C4/C2C2 ⊆ Out D1040D10:1C480,14
D102C4 = C22⋊F5φ: C4/C2C2 ⊆ Out D10204+D10:2C480,34
D103C4 = C22×F5φ: C4/C2C2 ⊆ Out D1020D10:3C480,50

Non-split extensions G=N.Q with N=D10 and Q=C4
extensionφ:Q→Out NdρLabelID
D10.1C4 = C8⋊D5φ: C4/C2C2 ⊆ Out D10402D10.1C480,5
D10.2C4 = D5⋊C8φ: C4/C2C2 ⊆ Out D10404D10.2C480,28
D10.3C4 = C4.F5φ: C4/C2C2 ⊆ Out D10404D10.3C480,29
D10.4C4 = C8×D5φ: trivial image402D10.4C480,4

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