Extensions 1→N→G→Q→1 with N=Dic54 and Q=C2

Direct product G=N×Q with N=Dic54 and Q=C2
dρLabelID
C2×Dic54432C2xDic54432,43

Semidirect products G=N:Q with N=Dic54 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic541C2 = C216⋊C2φ: C2/C1C2 ⊆ Out Dic542162Dic54:1C2432,7
Dic542C2 = D4.D27φ: C2/C1C2 ⊆ Out Dic542164-Dic54:2C2432,15
Dic543C2 = D42D27φ: C2/C1C2 ⊆ Out Dic542164-Dic54:3C2432,48
Dic544C2 = Q8×D27φ: C2/C1C2 ⊆ Out Dic542164-Dic54:4C2432,49
Dic545C2 = D1085C2φ: trivial image2162Dic54:5C2432,46

Non-split extensions G=N.Q with N=Dic54 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic54.1C2 = Dic108φ: C2/C1C2 ⊆ Out Dic544322-Dic54.1C2432,4
Dic54.2C2 = C27⋊Q16φ: C2/C1C2 ⊆ Out Dic544324-Dic54.2C2432,17

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