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Extensions 1→N→G→Q→1 with N=C33⋊8(C2×C4) and Q=C2

Direct product G=N×Q with N=C33⋊8(C2×C4) and Q=C2
dρLabelID
C2×C33⋊8(C2×C4)72C2xC3^3:8(C2xC4)432,679

Semidirect products G=N:Q with N=C33⋊8(C2×C4) and Q=C2
extensionφ:Q→Out NdρLabelID
C33⋊8(C2×C4)⋊1C2 = (S3×C6)⋊D6φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4):1C2432,601
C33⋊8(C2×C4)⋊2C2 = (S3×C6).D6φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4):2C2432,606
C33⋊8(C2×C4)⋊3C2 = D6.3S32φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4):3C2432,609
C33⋊8(C2×C4)⋊4C2 = Dic3.S32φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4):4C2432,612
C33⋊8(C2×C4)⋊5C2 = C12.40S32φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)72C3^3:8(C2xC4):5C2432,665
C33⋊8(C2×C4)⋊6C2 = C12.58S32φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)72C3^3:8(C2xC4):6C2432,669
C33⋊8(C2×C4)⋊7C2 = C62.90D6φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)72C3^3:8(C2xC4):7C2432,675
C33⋊8(C2×C4)⋊8C2 = C62.93D6φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)72C3^3:8(C2xC4):8C2432,678
C33⋊8(C2×C4)⋊9C2 = C62⋊23D6φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)36C3^3:8(C2xC4):9C2432,686
C33⋊8(C2×C4)⋊10C2 = S3×C6.D6φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4):10C2432,595
C33⋊8(C2×C4)⋊11C2 = C4×S3×C3⋊S3φ: trivial image72C3^3:8(C2xC4):11C2432,670

Non-split extensions G=N.Q with N=C33⋊8(C2×C4) and Q=C2
extensionφ:Q→Out NdρLabelID
C33⋊8(C2×C4).1C2 = C33⋊6(C2×Q8)φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4).1C2432,605
C33⋊8(C2×C4).2C2 = C32⋊9(S3×Q8)φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)72C3^3:8(C2xC4).2C2432,666
C33⋊8(C2×C4).3C2 = C33⋊5(C2×C8)φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4).3C2432,571
C33⋊8(C2×C4).4C2 = C33⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C33⋊8(C2×C4)248+C3^3:8(C2xC4).4C2432,573

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