Extensions 1→N→G→Q→1 with N=C2≀C4 and Q=C2

Direct product G=N×Q with N=C2≀C4 and Q=C2
dρLabelID
C2×C2≀C416C2xC2wrC4128,850

Semidirect products G=N:Q with N=C2≀C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C2≀C41C2 = D4≀C2φ: C2/C1C2 ⊆ Out C2≀C484+C2wrC4:1C2128,928
C2≀C42C2 = C424D4φ: C2/C1C2 ⊆ Out C2≀C4164C2wrC4:2C2128,929
C2≀C43C2 = C425D4φ: C2/C1C2 ⊆ Out C2≀C4168+C2wrC4:3C2128,931
C2≀C44C2 = C426D4φ: C2/C1C2 ⊆ Out C2≀C4168+C2wrC4:4C2128,932
C2≀C45C2 = C24.36D4φ: C2/C1C2 ⊆ Out C2≀C4168+C2wrC4:5C2128,853
C2≀C46C2 = C2≀C4⋊C2φ: C2/C1C2 ⊆ Out C2≀C4168+C2wrC4:6C2128,854
C2≀C47C2 = C4○C2≀C4φ: trivial image164C2wrC4:7C2128,852


׿
×
𝔽