Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C3⋊S3

Direct product G=N×Q with N=D4 and Q=C2×C3⋊S3
dρLabelID
C2×D4×C3⋊S372C2xD4xC3:S3288,1007

Semidirect products G=N:Q with N=D4 and Q=C2×C3⋊S3
extensionφ:Q→Out NdρLabelID
D4⋊1(C2×C3⋊S3) = D8×C3⋊S3φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Out D472D4:1(C2xC3:S3)288,767
D4⋊2(C2×C3⋊S3) = C24⋊8D6φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Out D472D4:2(C2xC3:S3)288,768
D4⋊3(C2×C3⋊S3) = C2×C32⋊7D8φ: C2×C3⋊S3/C3×C6 → C2 ⊆ Out D4144D4:3(C2xC3:S3)288,788
D4⋊4(C2×C3⋊S3) = C62.73D4φ: C2×C3⋊S3/C3×C6 → C2 ⊆ Out D472D4:4(C2xC3:S3)288,806
D4⋊5(C2×C3⋊S3) = C2×C12.D6φ: trivial image144D4:5(C2xC3:S3)288,1008
D4⋊6(C2×C3⋊S3) = C32⋊82+ 1+4φ: trivial image72D4:6(C2xC3:S3)288,1009
D4⋊7(C2×C3⋊S3) = C4○D4×C3⋊S3φ: trivial image72D4:7(C2xC3:S3)288,1013
D4⋊8(C2×C3⋊S3) = C62.154C23φ: trivial image72D4:8(C2xC3:S3)288,1014

Non-split extensions G=N.Q with N=D4 and Q=C2×C3⋊S3
extensionφ:Q→Out NdρLabelID
D4.1(C2×C3⋊S3) = C24.26D6φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Out D4144D4.1(C2xC3:S3)288,769
D4.2(C2×C3⋊S3) = SD16×C3⋊S3φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Out D472D4.2(C2xC3:S3)288,770
D4.3(C2×C3⋊S3) = C24⋊7D6φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Out D472D4.3(C2xC3:S3)288,771
D4.4(C2×C3⋊S3) = C24.32D6φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Out D4144D4.4(C2xC3:S3)288,772
D4.5(C2×C3⋊S3) = C24.40D6φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Out D4144D4.5(C2xC3:S3)288,773
D4.6(C2×C3⋊S3) = C62.131D4φ: C2×C3⋊S3/C3×C6 → C2 ⊆ Out D472D4.6(C2xC3:S3)288,789
D4.7(C2×C3⋊S3) = C2×C32⋊9SD16φ: C2×C3⋊S3/C3×C6 → C2 ⊆ Out D4144D4.7(C2xC3:S3)288,790
D4.8(C2×C3⋊S3) = C62.74D4φ: C2×C3⋊S3/C3×C6 → C2 ⊆ Out D4144D4.8(C2xC3:S3)288,807
D4.9(C2×C3⋊S3) = C62.75D4φ: C2×C3⋊S3/C3×C6 → C2 ⊆ Out D4144D4.9(C2xC3:S3)288,808
D4.10(C2×C3⋊S3) = C32⋊92- 1+4φ: trivial image144D4.10(C2xC3:S3)288,1015

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