Extensions 1→N→G→Q→1 with N=C62⋊C4 and Q=C2

Direct product G=N×Q with N=C62⋊C4 and Q=C2

Semidirect products G=N:Q with N=C62⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C62⋊C41C2 = C62.2D4φ: C2/C1C2 ⊆ Out C62⋊C4244+C6^2:C4:1C2288,386
C62⋊C42C2 = (C6×C12)⋊C4φ: C2/C1C2 ⊆ Out C62⋊C4244+C6^2:C4:2C2288,422
C62⋊C43C2 = (C2×C62)⋊C4φ: C2/C1C2 ⊆ Out C62⋊C4244C6^2:C4:3C2288,434
C62⋊C44C2 = C62.9D4φ: C2/C1C2 ⊆ Out C62⋊C4244C6^2:C4:4C2288,881
C62⋊C45C2 = D6≀C2φ: C2/C1C2 ⊆ Out C62⋊C4124+C6^2:C4:5C2288,889
C62⋊C46C2 = D4×C32⋊C4φ: C2/C1C2 ⊆ Out C62⋊C4248+C6^2:C4:6C2288,936

Non-split extensions G=N.Q with N=C62⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C62⋊C4.C2 = C62⋊Q8φ: C2/C1C2 ⊆ Out C62⋊C4248+C6^2:C4.C2288,895
C62⋊C4.2C2 = (C6×C12)⋊5C4φ: trivial image244C6^2:C4.2C2288,934