Extensions 1→N→G→Q→1 with N=Dic27 and Q=C4

Direct product G=N×Q with N=Dic27 and Q=C4
dρLabelID
C4×Dic27432C4xDic27432,11

Semidirect products G=N:Q with N=Dic27 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic27⋊C4 = Dic27⋊C4φ: C4/C2C2 ⊆ Out Dic27432Dic27:C4432,12

Non-split extensions G=N.Q with N=Dic27 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic27.C4 = C8⋊D27φ: C4/C2C2 ⊆ Out Dic272162Dic27.C4432,6
Dic27.2C4 = C8×D27φ: trivial image2162Dic27.2C4432,5

׿
×
𝔽