Extensions 1→N→G→Q→1 with N=C53⋊C2 and Q=C2

Direct product G=N×Q with N=C53⋊C2 and Q=C2
dρLabelID
C2×C53⋊C2250C2xC5^3:C2500,55

Semidirect products G=N:Q with N=C53⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
C53⋊C2⋊C2 = D5×C5⋊D5φ: C2/C1C2 ⊆ Out C53⋊C250C5^3:C2:C2500,51

Non-split extensions G=N.Q with N=C53⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
C53⋊C2.1C2 = C538C4φ: C2/C1C2 ⊆ Out C53⋊C2125C5^3:C2.1C2500,48
C53⋊C2.2C2 = C539C4φ: C2/C1C2 ⊆ Out C53⋊C250C5^3:C2.2C2500,49

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