Extensions 1→N→G→Q→1 with N=Dic21 and Q=C2

Direct product G=N×Q with N=Dic21 and Q=C2
dρLabelID
C2×Dic21168C2xDic21168,37

Semidirect products G=N:Q with N=Dic21 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic211C2 = C217D4φ: C2/C1C2 ⊆ Out Dic21842Dic21:1C2168,38
Dic212C2 = Dic3×D7φ: C2/C1C2 ⊆ Out Dic21844-Dic21:2C2168,12
Dic213C2 = S3×Dic7φ: C2/C1C2 ⊆ Out Dic21844-Dic21:3C2168,13
Dic214C2 = C21⋊D4φ: C2/C1C2 ⊆ Out Dic21844-Dic21:4C2168,15
Dic215C2 = C4×D21φ: trivial image842Dic21:5C2168,35

Non-split extensions G=N.Q with N=Dic21 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic21.1C2 = Dic42φ: C2/C1C2 ⊆ Out Dic211682-Dic21.1C2168,34
Dic21.2C2 = C21⋊Q8φ: C2/C1C2 ⊆ Out Dic211684-Dic21.2C2168,18

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