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

Extensions 1→N→G→Q→1 with N=C15 and Q=C42.C2

Direct product G=N×Q with N=C15 and Q=C42.C2
dρLabelID
C15×C42.C2480C15xC4^2.C2480,930

Semidirect products G=N:Q with N=C15 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C15⋊1(C42.C2) = Dic5.1Dic6φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:1(C4^2.C2)480,410
C15⋊2(C42.C2) = Dic5.2Dic6φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:2(C4^2.C2)480,411
C15⋊3(C42.C2) = Dic15.Q8φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:3(C4^2.C2)480,412
C15⋊4(C42.C2) = Dic15.2Q8φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:4(C4^2.C2)480,415
C15⋊5(C42.C2) = Dic3.Dic10φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:5(C4^2.C2)480,419
C15⋊6(C42.C2) = Dic3.2Dic10φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:6(C4^2.C2)480,422
C15⋊7(C42.C2) = Dic5.7Dic6φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:7(C4^2.C2)480,454
C15⋊8(C42.C2) = Dic3.3Dic10φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:8(C4^2.C2)480,455
C15⋊9(C42.C2) = C60.6Q8φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:9(C4^2.C2)480,457
C15⋊10(C42.C2) = Dic15.4Q8φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:10(C4^2.C2)480,458
C15⋊11(C42.C2) = C12.Dic10φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:11(C4^2.C2)480,460
C15⋊12(C42.C2) = C20.Dic6φ: C42.C2/C2×C4 → C22 ⊆ Aut C15480C15:12(C4^2.C2)480,464
C15⋊13(C42.C2) = C60.24Q8φ: C42.C2/C42 → C2 ⊆ Aut C15480C15:13(C4^2.C2)480,835
C15⋊14(C42.C2) = C3×C20.6Q8φ: C42.C2/C42 → C2 ⊆ Aut C15480C15:14(C4^2.C2)480,663
C15⋊15(C42.C2) = C5×C12.6Q8φ: C42.C2/C42 → C2 ⊆ Aut C15480C15:15(C4^2.C2)480,749
C15⋊16(C42.C2) = Dic15.3Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C15480C15:16(C4^2.C2)480,854
C15⋊17(C42.C2) = C4.Dic30φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C15480C15:17(C4^2.C2)480,855
C15⋊18(C42.C2) = C3×Dic5.Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C15480C15:18(C4^2.C2)480,682
C15⋊19(C42.C2) = C3×C4.Dic10φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C15480C15:19(C4^2.C2)480,683
C15⋊20(C42.C2) = C5×Dic3.Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C15480C15:20(C4^2.C2)480,768
C15⋊21(C42.C2) = C5×C4.Dic6φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C15480C15:21(C4^2.C2)480,769


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁