Extensions 1→N→G→Q→1 with N=C2×F5 and Q=C2

Direct product G=N×Q with N=C2×F5 and Q=C2
dρLabelID
C22×F520C2^2xF580,50

Semidirect products G=N:Q with N=C2×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×F5)⋊C2 = C22⋊F5φ: C2/C1C2 ⊆ Out C2×F5204+(C2xF5):C280,34

Non-split extensions G=N.Q with N=C2×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×F5).C2 = C4⋊F5φ: C2/C1C2 ⊆ Out C2×F5204(C2xF5).C280,31
(C2×F5).2C2 = C4×F5φ: trivial image204(C2xF5).2C280,30

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