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

Extensions 1→N→G→Q→1 with N=C15 and Q=C23⋊C4

Direct product G=N×Q with N=C15 and Q=C23⋊C4
dρLabelID
C15×C23⋊C41204C15xC2^3:C4480,202

Semidirect products G=N:Q with N=C15 and Q=C23⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C23⋊C4) = D10.D12φ: C23⋊C4/C22 → C2×C4 ⊆ Aut C151208-C15:1(C2^3:C4)480,248
C15⋊2(C23⋊C4) = D10.4D12φ: C23⋊C4/C22 → C2×C4 ⊆ Aut C151208+C15:2(C2^3:C4)480,249
C15⋊3(C23⋊C4) = (C2×C60)⋊C4φ: C23⋊C4/C2×C4 → C4 ⊆ Aut C151204C15:3(C2^3:C4)480,304
C15⋊4(C23⋊C4) = C3×D10.D4φ: C23⋊C4/C2×C4 → C4 ⊆ Aut C151204C15:4(C2^3:C4)480,279
C15⋊5(C23⋊C4) = C3⋊(C23⋊F5)φ: C23⋊C4/C23 → C4 ⊆ Aut C151204C15:5(C2^3:C4)480,316
C15⋊6(C23⋊C4) = C3×C23⋊F5φ: C23⋊C4/C23 → C4 ⊆ Aut C151204C15:6(C2^3:C4)480,291
C15⋊7(C23⋊C4) = (C2×C6).D20φ: C23⋊C4/C23 → C22 ⊆ Aut C151204C15:7(C2^3:C4)480,71
C15⋊8(C23⋊C4) = C15⋊8(C23⋊C4)φ: C23⋊C4/C23 → C22 ⊆ Aut C151204C15:8(C2^3:C4)480,72
C15⋊9(C23⋊C4) = C15⋊9(C23⋊C4)φ: C23⋊C4/C23 → C22 ⊆ Aut C151204C15:9(C2^3:C4)480,73
C15⋊10(C23⋊C4) = C23.6D30φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C151204C15:10(C2^3:C4)480,166
C15⋊11(C23⋊C4) = C3×C23.1D10φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C151204C15:11(C2^3:C4)480,84
C15⋊12(C23⋊C4) = C5×C23.6D6φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C151204C15:12(C2^3:C4)480,125
C15⋊13(C23⋊C4) = C23.7D30φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C151204C15:13(C2^3:C4)480,194
C15⋊14(C23⋊C4) = C3×C23⋊Dic5φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C151204C15:14(C2^3:C4)480,112
C15⋊15(C23⋊C4) = C5×C23.7D6φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C151204C15:15(C2^3:C4)480,153


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁