Extensions 1→N→G→Q→1 with N=Q8 and Q=D27

Direct product G=N×Q with N=Q8 and Q=D27
dρLabelID
Q8×D272164-Q8xD27432,49

Semidirect products G=N:Q with N=Q8 and Q=D27
extensionφ:Q→Out NdρLabelID
Q8⋊D27 = Q8⋊D27φ: D27/C9S3 ⊆ Out Q82164+Q8:D27432,38
Q82D27 = Q82D27φ: D27/C27C2 ⊆ Out Q82164+Q8:2D27432,18
Q83D27 = Q83D27φ: trivial image2164+Q8:3D27432,50

Non-split extensions G=N.Q with N=Q8 and Q=D27
extensionφ:Q→Out NdρLabelID
Q8.D27 = Q8.D27φ: D27/C9S3 ⊆ Out Q84324-Q8.D27432,37
Q8.2D27 = C27⋊Q16φ: D27/C27C2 ⊆ Out Q84324-Q8.2D27432,17

׿
×
𝔽