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Extensions 1→N→G→Q→1 with N=C4 and Q=C6×Dic3

Direct product G=N×Q with N=C4 and Q=C6×Dic3
dρLabelID
Dic3×C2×C1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=C4 and Q=C6×Dic3
extensionφ:Q→Aut NdρLabelID
C4⋊1(C6×Dic3) = C3×D4×Dic3φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C448C4:1(C6xDic3)288,705
C4⋊2(C6×Dic3) = C6×C4⋊Dic3φ: C6×Dic3/C62 → C2 ⊆ Aut C496C4:2(C6xDic3)288,696

Non-split extensions G=N.Q with N=C4 and Q=C6×Dic3
extensionφ:Q→Aut NdρLabelID
C4.1(C6×Dic3) = C3×D4⋊Dic3φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C448C4.1(C6xDic3)288,266
C4.2(C6×Dic3) = C3×Q8⋊2Dic3φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C496C4.2(C6xDic3)288,269
C4.3(C6×Dic3) = C3×Q8⋊3Dic3φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C4484C4.3(C6xDic3)288,271
C4.4(C6×Dic3) = C3×Q8×Dic3φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C496C4.4(C6xDic3)288,716
C4.5(C6×Dic3) = C3×D4.Dic3φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C4484C4.5(C6xDic3)288,719
C4.6(C6×Dic3) = C3×C8⋊Dic3φ: C6×Dic3/C62 → C2 ⊆ Aut C496C4.6(C6xDic3)288,251
C4.7(C6×Dic3) = C3×C24⋊1C4φ: C6×Dic3/C62 → C2 ⊆ Aut C496C4.7(C6xDic3)288,252
C4.8(C6×Dic3) = C3×C24.C4φ: C6×Dic3/C62 → C2 ⊆ Aut C4482C4.8(C6xDic3)288,253
C4.9(C6×Dic3) = C6×C3⋊C16central extension (φ=1)96C4.9(C6xDic3)288,245
C4.10(C6×Dic3) = C3×C12.C8central extension (φ=1)482C4.10(C6xDic3)288,246
C4.11(C6×Dic3) = Dic3×C24central extension (φ=1)96C4.11(C6xDic3)288,247
C4.12(C6×Dic3) = C3×C24⋊C4central extension (φ=1)96C4.12(C6xDic3)288,249
C4.13(C6×Dic3) = C2×C6×C3⋊C8central extension (φ=1)96C4.13(C6xDic3)288,691
C4.14(C6×Dic3) = C6×C4.Dic3central extension (φ=1)48C4.14(C6xDic3)288,692
C4.15(C6×Dic3) = C3×C23.26D6central extension (φ=1)48C4.15(C6xDic3)288,697

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