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

Extensions 1→N→G→Q→1 with N=C10 and Q=D4.S3

Direct product G=N×Q with N=C10 and Q=D4.S3
dρLabelID
C10×D4.S3240C10xD4.S3480,812

Semidirect products G=N:Q with N=C10 and Q=D4.S3
extensionφ:Q→Aut NdρLabelID
C10⋊1(D4.S3) = C2×C6.D20φ: D4.S3/C3⋊C8 → C2 ⊆ Aut C10240C10:1(D4.S3)480,386
C10⋊2(D4.S3) = C2×C30.D4φ: D4.S3/Dic6 → C2 ⊆ Aut C10240C10:2(D4.S3)480,382
C10⋊3(D4.S3) = C2×D4.D15φ: D4.S3/C3×D4 → C2 ⊆ Aut C10240C10:3(D4.S3)480,898

Non-split extensions G=N.Q with N=C10 and Q=D4.S3
extensionφ:Q→Aut NdρLabelID
C10.1(D4.S3) = C6.D40φ: D4.S3/C3⋊C8 → C2 ⊆ Aut C10240C10.1(D4.S3)480,41
C10.2(D4.S3) = Dic30⋊12C4φ: D4.S3/C3⋊C8 → C2 ⊆ Aut C10480C10.2(D4.S3)480,50
C10.3(D4.S3) = C60.Q8φ: D4.S3/C3⋊C8 → C2 ⊆ Aut C10480C10.3(D4.S3)480,63
C10.4(D4.S3) = C30.D8φ: D4.S3/Dic6 → C2 ⊆ Aut C10240C10.4(D4.S3)480,40
C10.5(D4.S3) = Dic6⋊Dic5φ: D4.S3/Dic6 → C2 ⊆ Aut C10480C10.5(D4.S3)480,48
C10.6(D4.S3) = C30.SD16φ: D4.S3/Dic6 → C2 ⊆ Aut C10480C10.6(D4.S3)480,62
C10.7(D4.S3) = C60.2Q8φ: D4.S3/C3×D4 → C2 ⊆ Aut C10480C10.7(D4.S3)480,168
C10.8(D4.S3) = Dic30⋊9C4φ: D4.S3/C3×D4 → C2 ⊆ Aut C10480C10.8(D4.S3)480,170
C10.9(D4.S3) = D4⋊Dic15φ: D4.S3/C3×D4 → C2 ⊆ Aut C10240C10.9(D4.S3)480,192
C10.10(D4.S3) = C5×C12.Q8central extension (φ=1)480C10.10(D4.S3)480,127
C10.11(D4.S3) = C5×C6.SD16central extension (φ=1)480C10.11(D4.S3)480,129
C10.12(D4.S3) = C5×D4⋊Dic3central extension (φ=1)240C10.12(D4.S3)480,151

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁