Extensions 1→N→G→Q→1 with N=C5⋊D4 and Q=C12

Direct product G=N×Q with N=C5⋊D4 and Q=C12
dρLabelID
C12×C5⋊D4240C12xC5:D4480,721

Semidirect products G=N:Q with N=C5⋊D4 and Q=C12
extensionφ:Q→Out NdρLabelID
C5⋊D4⋊C12 = C3×D4×F5φ: C12/C3C4 ⊆ Out C5⋊D4608C5:D4:C12480,1054
C5⋊D42C12 = C3×Dic54D4φ: C12/C6C2 ⊆ Out C5⋊D4240C5:D4:2C12480,674

Non-split extensions G=N.Q with N=C5⋊D4 and Q=C12
extensionφ:Q→Out NdρLabelID
C5⋊D4.C12 = C3×D4.F5φ: C12/C3C4 ⊆ Out C5⋊D42408C5:D4.C12480,1053
C5⋊D4.2C12 = C3×D20.2C4φ: C12/C6C2 ⊆ Out C5⋊D42404C5:D4.2C12480,700
C5⋊D4.3C12 = C3×D20.3C4φ: trivial image2402C5:D4.3C12480,694

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