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Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C22⋊C4

Direct product G=N×Q with N=C15 and Q=C2×C22⋊C4
dρLabelID
C22⋊C4×C30240C2^2:C4xC30480,920

Semidirect products G=N:Q with N=C15 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C2×C22⋊C4) = C2×D6⋊F5φ: C2×C22⋊C4/C22 → C2×C4 ⊆ Aut C15120C15:1(C2xC2^2:C4)480,1000
C15⋊2(C2×C22⋊C4) = S3×C22⋊F5φ: C2×C22⋊C4/C22 → C2×C4 ⊆ Aut C15608+C15:2(C2xC2^2:C4)480,1011
C15⋊3(C2×C22⋊C4) = D5×D6⋊C4φ: C2×C22⋊C4/C2×C4 → C22 ⊆ Aut C15120C15:3(C2xC2^2:C4)480,547
C15⋊4(C2×C22⋊C4) = S3×D10⋊C4φ: C2×C22⋊C4/C2×C4 → C22 ⊆ Aut C15120C15:4(C2xC2^2:C4)480,548
C15⋊5(C2×C22⋊C4) = D30.27D4φ: C2×C22⋊C4/C2×C4 → C22 ⊆ Aut C15120C15:5(C2xC2^2:C4)480,549
C15⋊6(C2×C22⋊C4) = C2×D10.D6φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C15120C15:6(C2xC2^2:C4)480,1072
C15⋊7(C2×C22⋊C4) = C6×C22⋊F5φ: C2×C22⋊C4/C23 → C4 ⊆ Aut C15120C15:7(C2xC2^2:C4)480,1059
C15⋊8(C2×C22⋊C4) = C2×D10⋊Dic3φ: C2×C22⋊C4/C23 → C22 ⊆ Aut C15240C15:8(C2xC2^2:C4)480,611
C15⋊9(C2×C22⋊C4) = C2×D6⋊Dic5φ: C2×C22⋊C4/C23 → C22 ⊆ Aut C15240C15:9(C2xC2^2:C4)480,614
C15⋊10(C2×C22⋊C4) = C2×D30⋊4C4φ: C2×C22⋊C4/C23 → C22 ⊆ Aut C15240C15:10(C2xC2^2:C4)480,616
C15⋊11(C2×C22⋊C4) = D5×C6.D4φ: C2×C22⋊C4/C23 → C22 ⊆ Aut C15120C15:11(C2xC2^2:C4)480,623
C15⋊12(C2×C22⋊C4) = S3×C23.D5φ: C2×C22⋊C4/C23 → C22 ⊆ Aut C15120C15:12(C2xC2^2:C4)480,630
C15⋊13(C2×C22⋊C4) = D30.45D4φ: C2×C22⋊C4/C23 → C22 ⊆ Aut C15120C15:13(C2xC2^2:C4)480,637
C15⋊14(C2×C22⋊C4) = C22⋊C4×D15φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C15120C15:14(C2xC2^2:C4)480,845
C15⋊15(C2×C22⋊C4) = C3×D5×C22⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C15120C15:15(C2xC2^2:C4)480,673
C15⋊16(C2×C22⋊C4) = C5×S3×C22⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C15120C15:16(C2xC2^2:C4)480,759
C15⋊17(C2×C22⋊C4) = C2×D30⋊3C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C15240C15:17(C2xC2^2:C4)480,892
C15⋊18(C2×C22⋊C4) = C6×D10⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C15240C15:18(C2xC2^2:C4)480,720
C15⋊19(C2×C22⋊C4) = C10×D6⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C15240C15:19(C2xC2^2:C4)480,806
C15⋊20(C2×C22⋊C4) = C2×C30.38D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C15240C15:20(C2xC2^2:C4)480,917
C15⋊21(C2×C22⋊C4) = C6×C23.D5φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C15240C15:21(C2xC2^2:C4)480,745
C15⋊22(C2×C22⋊C4) = C10×C6.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C15240C15:22(C2xC2^2:C4)480,831


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