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Extensions 1→N→G→Q→1 with N=C15 and Q=C4.4D4

Direct product G=N×Q with N=C15 and Q=C4.4D4
dρLabelID
C15×C4.4D4240C15xC4.4D4480,929

Semidirect products G=N:Q with N=C15 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C4.4D4) = (C2×C20).D6φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:1(C4.4D4)480,402
C15⋊2(C4.4D4) = Dic5.8D12φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:2(C4.4D4)480,426
C15⋊3(C4.4D4) = Dic3.D20φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:3(C4.4D4)480,429
C15⋊4(C4.4D4) = C60.44D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:4(C4.4D4)480,440
C15⋊5(C4.4D4) = C60.88D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:5(C4.4D4)480,444
C15⋊6(C4.4D4) = C60.89D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:6(C4.4D4)480,446
C15⋊7(C4.4D4) = C60.69D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:7(C4.4D4)480,449
C15⋊8(C4.4D4) = C60.47D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:8(C4.4D4)480,450
C15⋊9(C4.4D4) = C60.70D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:9(C4.4D4)480,451
C15⋊10(C4.4D4) = (C2×Dic6)⋊D5φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:10(C4.4D4)480,531
C15⋊11(C4.4D4) = Dic15.10D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:11(C4.4D4)480,538
C15⋊12(C4.4D4) = Dic15.31D4φ: C4.4D4/C2×C4 → C22 ⊆ Aut C15240C15:12(C4.4D4)480,540
C15⋊13(C4.4D4) = C23.D5⋊S3φ: C4.4D4/C23 → C22 ⊆ Aut C15240C15:13(C4.4D4)480,601
C15⋊14(C4.4D4) = Dic15.19D4φ: C4.4D4/C23 → C22 ⊆ Aut C15240C15:14(C4.4D4)480,602
C15⋊15(C4.4D4) = C6.(D4×D5)φ: C4.4D4/C23 → C22 ⊆ Aut C15240C15:15(C4.4D4)480,610
C15⋊16(C4.4D4) = C42⋊7D15φ: C4.4D4/C42 → C2 ⊆ Aut C15240C15:16(C4.4D4)480,840
C15⋊17(C4.4D4) = C3×C4.D20φ: C4.4D4/C42 → C2 ⊆ Aut C15240C15:17(C4.4D4)480,668
C15⋊18(C4.4D4) = C5×C42⋊7S3φ: C4.4D4/C42 → C2 ⊆ Aut C15240C15:18(C4.4D4)480,754
C15⋊19(C4.4D4) = C23.11D30φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C15240C15:19(C4.4D4)480,850
C15⋊20(C4.4D4) = C3×Dic5.5D4φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C15240C15:20(C4.4D4)480,678
C15⋊21(C4.4D4) = C5×C23.11D6φ: C4.4D4/C22⋊C4 → C2 ⊆ Aut C15240C15:21(C4.4D4)480,764
C15⋊22(C4.4D4) = C60.17D4φ: C4.4D4/C2×D4 → C2 ⊆ Aut C15240C15:22(C4.4D4)480,901
C15⋊23(C4.4D4) = C3×C20.17D4φ: C4.4D4/C2×D4 → C2 ⊆ Aut C15240C15:23(C4.4D4)480,729
C15⋊24(C4.4D4) = C5×C23.12D6φ: C4.4D4/C2×D4 → C2 ⊆ Aut C15240C15:24(C4.4D4)480,815
C15⋊25(C4.4D4) = C60.23D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C15240C15:25(C4.4D4)480,912
C15⋊26(C4.4D4) = C3×C20.23D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C15240C15:26(C4.4D4)480,740
C15⋊27(C4.4D4) = C5×C12.23D4φ: C4.4D4/C2×Q8 → C2 ⊆ Aut C15240C15:27(C4.4D4)480,826


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