Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C15 and Q=Q8⋊C4

Direct product G=N×Q with N=C15 and Q=Q8⋊C4
dρLabelID
C15×Q8⋊C4480C15xQ8:C4480,206

Semidirect products G=N:Q with N=C15 and Q=Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊1(Q8⋊C4) = Dic6⋊F5φ: Q8⋊C4/C4 → C2×C4 ⊆ Aut C151208-C15:1(Q8:C4)480,229
C15⋊2(Q8⋊C4) = Dic30⋊C4φ: Q8⋊C4/C4 → C2×C4 ⊆ Aut C151208-C15:2(Q8:C4)480,230
C15⋊3(Q8⋊C4) = C30.Q16φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:3(Q8:C4)480,46
C15⋊4(Q8⋊C4) = C6.Dic20φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:4(Q8:C4)480,47
C15⋊5(Q8⋊C4) = Dic6⋊Dic5φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:5(Q8:C4)480,48
C15⋊6(Q8⋊C4) = C10.Dic12φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:6(Q8:C4)480,49
C15⋊7(Q8⋊C4) = Dic30⋊12C4φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:7(Q8:C4)480,50
C15⋊8(Q8⋊C4) = Dic30⋊15C4φ: Q8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:8(Q8:C4)480,51
C15⋊9(Q8⋊C4) = Dic10⋊2Dic3φ: Q8⋊C4/Q8 → C4 ⊆ Aut C151208C15:9(Q8:C4)480,314
C15⋊10(Q8⋊C4) = C3×Q8⋊F5φ: Q8⋊C4/Q8 → C4 ⊆ Aut C151208C15:10(Q8:C4)480,289
C15⋊11(Q8⋊C4) = Dic30⋊9C4φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C15480C15:11(Q8:C4)480,170
C15⋊12(Q8⋊C4) = C3×C10.Q16φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C15480C15:12(Q8:C4)480,88
C15⋊13(Q8⋊C4) = C5×C6.SD16φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C15480C15:13(Q8:C4)480,129
C15⋊14(Q8⋊C4) = Dic30⋊8C4φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C15480C15:14(Q8:C4)480,176
C15⋊15(Q8⋊C4) = C3×C20.44D4φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C15480C15:15(Q8:C4)480,94
C15⋊16(Q8⋊C4) = C5×C2.Dic12φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C15480C15:16(Q8:C4)480,135
C15⋊17(Q8⋊C4) = Q8⋊2Dic15φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C15480C15:17(Q8:C4)480,195
C15⋊18(Q8⋊C4) = C3×Q8⋊Dic5φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C15480C15:18(Q8:C4)480,113
C15⋊19(Q8⋊C4) = C5×Q8⋊2Dic3φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C15480C15:19(Q8:C4)480,154


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁