Extensions 1→N→G→Q→1 with N=C3 and Q=D4⋊Dic3

Direct product G=N×Q with N=C3 and Q=D4⋊Dic3
dρLabelID
C3×D4⋊Dic348C3xD4:Dic3288,266

Semidirect products G=N:Q with N=C3 and Q=D4⋊Dic3
extensionφ:Q→Aut NdρLabelID
C3⋊1(D4⋊Dic3) = C6.16D24φ: D4⋊Dic3/C2×C3⋊C8 → C2 ⊆ Aut C396C3:1(D4:Dic3)288,211
C3⋊2(D4⋊Dic3) = D12⋊3Dic3φ: D4⋊Dic3/C4⋊Dic3 → C2 ⊆ Aut C396C3:2(D4:Dic3)288,210
C3⋊3(D4⋊Dic3) = C62.116D4φ: D4⋊Dic3/C6×D4 → C2 ⊆ Aut C3144C3:3(D4:Dic3)288,307

Non-split extensions G=N.Q with N=C3 and Q=D4⋊Dic3
extensionφ:Q→Aut NdρLabelID
C3.(D4⋊Dic3) = D4⋊Dic9φ: D4⋊Dic3/C6×D4 → C2 ⊆ Aut C3144C3.(D4:Dic3)288,40

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