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

Direct product G=N×Q with N=C4⋊C4 and Q=S3
dρLabelID
S3×C4⋊C448S3xC4:C496,98

Semidirect products G=N:Q with N=C4⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊1S3 = C6.D8φ: S3/C3 → C2 ⊆ Out C4⋊C448C4:C4:1S396,16
C4⋊C4⋊2S3 = D6.D4φ: S3/C3 → C2 ⊆ Out C4⋊C448C4:C4:2S396,101
C4⋊C4⋊3S3 = C12⋊D4φ: S3/C3 → C2 ⊆ Out C4⋊C448C4:C4:3S396,102
C4⋊C4⋊4S3 = D6⋊Q8φ: S3/C3 → C2 ⊆ Out C4⋊C448C4:C4:4S396,103
C4⋊C4⋊5S3 = C4.D12φ: S3/C3 → C2 ⊆ Out C4⋊C448C4:C4:5S396,104
C4⋊C4⋊6S3 = C4⋊C4⋊S3φ: S3/C3 → C2 ⊆ Out C4⋊C448C4:C4:6S396,105
C4⋊C4⋊7S3 = C4⋊C4⋊7S3φ: trivial image48C4:C4:7S396,99
C4⋊C4⋊8S3 = Dic3⋊5D4φ: trivial image48C4:C4:8S396,100

Non-split extensions G=N.Q with N=C4⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊C4.1S3 = C6.Q16φ: S3/C3 → C2 ⊆ Out C4⋊C496C4:C4.1S396,14
C4⋊C4.2S3 = C12.Q8φ: S3/C3 → C2 ⊆ Out C4⋊C496C4:C4.2S396,15
C4⋊C4.3S3 = C6.SD16φ: S3/C3 → C2 ⊆ Out C4⋊C496C4:C4.3S396,17
C4⋊C4.4S3 = C12⋊Q8φ: S3/C3 → C2 ⊆ Out C4⋊C496C4:C4.4S396,95
C4⋊C4.5S3 = Dic3.Q8φ: S3/C3 → C2 ⊆ Out C4⋊C496C4:C4.5S396,96
C4⋊C4.6S3 = C4.Dic6φ: S3/C3 → C2 ⊆ Out C4⋊C496C4:C4.6S396,97
C4⋊C4.7S3 = Dic6⋊C4φ: trivial image96C4:C4.7S396,94

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