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

Direct product G=N×Q with N=C15 and Q=D4⋊C4
dρLabelID
C15×D4⋊C4240C15xD4:C4480,205

Semidirect products G=N:Q with N=C15 and Q=D4⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊1(D4⋊C4) = D60⋊C4φ: D4⋊C4/C4 → C2×C4 ⊆ Aut C151208+C15:1(D4:C4)480,227
C15⋊2(D4⋊C4) = D12⋊F5φ: D4⋊C4/C4 → C2×C4 ⊆ Aut C151208+C15:2(D4:C4)480,228
C15⋊3(D4⋊C4) = C30.D8φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:3(D4:C4)480,40
C15⋊4(D4⋊C4) = C6.D40φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:4(D4:C4)480,41
C15⋊5(D4⋊C4) = D12⋊Dic5φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:5(D4:C4)480,42
C15⋊6(D4⋊C4) = C10.D24φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:6(D4:C4)480,43
C15⋊7(D4⋊C4) = D60⋊12C4φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:7(D4:C4)480,44
C15⋊8(D4⋊C4) = D60⋊15C4φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:8(D4:C4)480,45
C15⋊9(D4⋊C4) = D20⋊Dic3φ: D4⋊C4/D4 → C4 ⊆ Aut C151208C15:9(D4:C4)480,312
C15⋊10(D4⋊C4) = C3×D20⋊C4φ: D4⋊C4/D4 → C4 ⊆ Aut C151208C15:10(D4:C4)480,287
C15⋊11(D4⋊C4) = D60⋊9C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C15240C15:11(D4:C4)480,169
C15⋊12(D4⋊C4) = C3×D20⋊6C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C15240C15:12(D4:C4)480,87
C15⋊13(D4⋊C4) = C5×C6.D8φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C15240C15:13(D4:C4)480,128
C15⋊14(D4⋊C4) = D60⋊8C4φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C15240C15:14(D4:C4)480,181
C15⋊15(D4⋊C4) = C3×D20⋊5C4φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C15240C15:15(D4:C4)480,99
C15⋊16(D4⋊C4) = C5×C2.D24φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C15240C15:16(D4:C4)480,140
C15⋊17(D4⋊C4) = D4⋊Dic15φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C15240C15:17(D4:C4)480,192
C15⋊18(D4⋊C4) = C3×D4⋊Dic5φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C15240C15:18(D4:C4)480,110
C15⋊19(D4⋊C4) = C5×D4⋊Dic3φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C15240C15:19(D4:C4)480,151


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