Extensions 1→N→G→Q→1 with N=Q8⋊C27 and Q=C2

Direct product G=N×Q with N=Q8⋊C27 and Q=C2
dρLabelID
C2×Q8⋊C27432C2xQ8:C27432,41

Semidirect products G=N:Q with N=Q8⋊C27 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊C27⋊C2 = Q8⋊D27φ: C2/C1C2 ⊆ Out Q8⋊C272164+Q8:C27:C2432,38
Q8⋊C272C2 = Q8.C54φ: trivial image2162Q8:C27:2C2432,42

Non-split extensions G=N.Q with N=Q8⋊C27 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊C27.C2 = Q8.D27φ: C2/C1C2 ⊆ Out Q8⋊C274324-Q8:C27.C2432,37

׿
×
𝔽