Extensions 1→N→G→Q→1 with N=C3 and Q=C2×D6⋊C4

Direct product G=N×Q with N=C3 and Q=C2×D6⋊C4
dρLabelID
C6×D6⋊C496C6xD6:C4288,698

Semidirect products G=N:Q with N=C3 and Q=C2×D6⋊C4
extensionφ:Q→Aut NdρLabelID
C3⋊1(C2×D6⋊C4) = S3×D6⋊C4φ: C2×D6⋊C4/D6⋊C4 → C2 ⊆ Aut C348C3:1(C2xD6:C4)288,568
C3⋊2(C2×D6⋊C4) = C2×C6.D12φ: C2×D6⋊C4/C22×Dic3 → C2 ⊆ Aut C348C3:2(C2xD6:C4)288,611
C3⋊3(C2×D6⋊C4) = C2×C6.11D12φ: C2×D6⋊C4/C22×C12 → C2 ⊆ Aut C3144C3:3(C2xD6:C4)288,784
C3⋊4(C2×D6⋊C4) = C2×D6⋊Dic3φ: C2×D6⋊C4/S3×C23 → C2 ⊆ Aut C396C3:4(C2xD6:C4)288,608

Non-split extensions G=N.Q with N=C3 and Q=C2×D6⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(C2×D6⋊C4) = C2×D18⋊C4φ: C2×D6⋊C4/C22×C12 → C2 ⊆ Aut C3144C3.(C2xD6:C4)288,137

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