Extensions 1→N→G→Q→1 with N=Dic23 and Q=C22

Direct product G=N×Q with N=Dic23 and Q=C22
dρLabelID
C22×Dic23368C2^2xDic23368,35

Semidirect products G=N:Q with N=Dic23 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic231C22 = D4×D23φ: C22/C2C2 ⊆ Out Dic23924+Dic23:1C2^2368,31
Dic232C22 = C2×C23⋊D4φ: C22/C2C2 ⊆ Out Dic23184Dic23:2C2^2368,36
Dic233C22 = C2×C4×D23φ: trivial image184Dic23:3C2^2368,28

Non-split extensions G=N.Q with N=Dic23 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic23.1C22 = C2×Dic46φ: C22/C2C2 ⊆ Out Dic23368Dic23.1C2^2368,27
Dic23.2C22 = D925C2φ: C22/C2C2 ⊆ Out Dic231842Dic23.2C2^2368,30
Dic23.3C22 = Q8×D23φ: C22/C2C2 ⊆ Out Dic231844-Dic23.3C2^2368,33
Dic23.4C22 = D42D23φ: trivial image1844-Dic23.4C2^2368,32
Dic23.5C22 = D92⋊C2φ: trivial image1844+Dic23.5C2^2368,34

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