Extensions 1→N→G→Q→1 with N=D5xC22 and Q=C2

Direct product G=NxQ with N=D5xC22 and Q=C2
dρLabelID
D5xC2xC22220D5xC2xC22440,49

Semidirect products G=N:Q with N=D5xC22 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC22):1C2 = C55:D4φ: C2/C1C2 ⊆ Out D5xC222204-(D5xC22):1C2440,20
(D5xC22):2C2 = C11:D20φ: C2/C1C2 ⊆ Out D5xC222204+(D5xC22):2C2440,22
(D5xC22):3C2 = C2xD5xD11φ: C2/C1C2 ⊆ Out D5xC221104+(D5xC22):3C2440,47
(D5xC22):4C2 = C11xD20φ: C2/C1C2 ⊆ Out D5xC222202(D5xC22):4C2440,31
(D5xC22):5C2 = C11xC5:D4φ: C2/C1C2 ⊆ Out D5xC222202(D5xC22):5C2440,33

Non-split extensions G=N.Q with N=D5xC22 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC22).1C2 = D5xDic11φ: C2/C1C2 ⊆ Out D5xC222204-(D5xC22).1C2440,18
(D5xC22).2C2 = C2xC11:F5φ: C2/C1C2 ⊆ Out D5xC221104(D5xC22).2C2440,46
(D5xC22).3C2 = F5xC22φ: C2/C1C2 ⊆ Out D5xC221104(D5xC22).3C2440,45
(D5xC22).4C2 = D5xC44φ: trivial image2202(D5xC22).4C2440,30

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