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Extensions 1→N→G→Q→1 with N=C4 and Q=C8⋊S3

Direct product G=N×Q with N=C4 and Q=C8⋊S3
dρLabelID
C4×C8⋊S396C4xC8:S3192,246

Semidirect products G=N:Q with N=C4 and Q=C8⋊S3
extensionφ:Q→Aut NdρLabelID
C4⋊1(C8⋊S3) = C12⋊2M4(2)φ: C8⋊S3/C3⋊C8 → C2 ⊆ Aut C496C4:1(C8:S3)192,397
C4⋊2(C8⋊S3) = C8⋊6D12φ: C8⋊S3/C24 → C2 ⊆ Aut C496C4:2(C8:S3)192,247
C4⋊3(C8⋊S3) = C12⋊M4(2)φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C496C4:3(C8:S3)192,396

Non-split extensions G=N.Q with N=C4 and Q=C8⋊S3
extensionφ:Q→Aut NdρLabelID
C4.1(C8⋊S3) = D12⋊2C8φ: C8⋊S3/C3⋊C8 → C2 ⊆ Aut C496C4.1(C8:S3)192,42
C4.2(C8⋊S3) = Dic6⋊2C8φ: C8⋊S3/C3⋊C8 → C2 ⊆ Aut C4192C4.2(C8:S3)192,43
C4.3(C8⋊S3) = C42.198D6φ: C8⋊S3/C3⋊C8 → C2 ⊆ Aut C4192C4.3(C8:S3)192,390
C4.4(C8⋊S3) = C4.8Dic12φ: C8⋊S3/C24 → C2 ⊆ Aut C4192C4.4(C8:S3)192,15
C4.5(C8⋊S3) = C4.17D24φ: C8⋊S3/C24 → C2 ⊆ Aut C496C4.5(C8:S3)192,18
C4.6(C8⋊S3) = C24⋊12Q8φ: C8⋊S3/C24 → C2 ⊆ Aut C4192C4.6(C8:S3)192,238
C4.7(C8⋊S3) = C12.53D8φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C4192C4.7(C8:S3)192,38
C4.8(C8⋊S3) = C12.39SD16φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C4192C4.8(C8:S3)192,39
C4.9(C8⋊S3) = C48⋊C4φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C4484C4.9(C8:S3)192,71
C4.10(C8⋊S3) = C8.25D12φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C4484C4.10(C8:S3)192,73
C4.11(C8⋊S3) = C42.202D6φ: C8⋊S3/C4×S3 → C2 ⊆ Aut C496C4.11(C8:S3)192,394
C4.12(C8⋊S3) = C42.279D6central extension (φ=1)192C4.12(C8:S3)192,13
C4.13(C8⋊S3) = C24⋊C8central extension (φ=1)192C4.13(C8:S3)192,14
C4.14(C8⋊S3) = Dic3⋊C16central extension (φ=1)192C4.14(C8:S3)192,60
C4.15(C8⋊S3) = D6⋊C16central extension (φ=1)96C4.15(C8:S3)192,66
C4.16(C8⋊S3) = C42.282D6central extension (φ=1)96C4.16(C8:S3)192,244

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