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

Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C5⋊2C8

Direct product G=N×Q with N=C6 and Q=C2×C5⋊2C8
dρLabelID
C2×C6×C5⋊2C8480C2xC6xC5:2C8480,713

Semidirect products G=N:Q with N=C6 and Q=C2×C5⋊2C8
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C5⋊2C8) = C2×S3×C5⋊2C8φ: C2×C5⋊2C8/C5⋊2C8 → C2 ⊆ Aut C6240C6:1(C2xC5:2C8)480,361
C6⋊2(C2×C5⋊2C8) = C22×C15⋊3C8φ: C2×C5⋊2C8/C2×C20 → C2 ⊆ Aut C6480C6:2(C2xC5:2C8)480,885

Non-split extensions G=N.Q with N=C6 and Q=C2×C5⋊2C8
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C5⋊2C8) = S3×C5⋊2C16φ: C2×C5⋊2C8/C5⋊2C8 → C2 ⊆ Aut C62404C6.1(C2xC5:2C8)480,8
C6.2(C2×C5⋊2C8) = C40.52D6φ: C2×C5⋊2C8/C5⋊2C8 → C2 ⊆ Aut C62404C6.2(C2xC5:2C8)480,11
C6.3(C2×C5⋊2C8) = Dic3×C5⋊2C8φ: C2×C5⋊2C8/C5⋊2C8 → C2 ⊆ Aut C6480C6.3(C2xC5:2C8)480,26
C6.4(C2×C5⋊2C8) = C60.94D4φ: C2×C5⋊2C8/C5⋊2C8 → C2 ⊆ Aut C6240C6.4(C2xC5:2C8)480,32
C6.5(C2×C5⋊2C8) = C60.15Q8φ: C2×C5⋊2C8/C5⋊2C8 → C2 ⊆ Aut C6480C6.5(C2xC5:2C8)480,60
C6.6(C2×C5⋊2C8) = C4×C15⋊3C8φ: C2×C5⋊2C8/C2×C20 → C2 ⊆ Aut C6480C6.6(C2xC5:2C8)480,162
C6.7(C2×C5⋊2C8) = C60⋊5C8φ: C2×C5⋊2C8/C2×C20 → C2 ⊆ Aut C6480C6.7(C2xC5:2C8)480,164
C6.8(C2×C5⋊2C8) = C2×C15⋊3C16φ: C2×C5⋊2C8/C2×C20 → C2 ⊆ Aut C6480C6.8(C2xC5:2C8)480,171
C6.9(C2×C5⋊2C8) = C60.7C8φ: C2×C5⋊2C8/C2×C20 → C2 ⊆ Aut C62402C6.9(C2xC5:2C8)480,172
C6.10(C2×C5⋊2C8) = C60.212D4φ: C2×C5⋊2C8/C2×C20 → C2 ⊆ Aut C6240C6.10(C2xC5:2C8)480,190
C6.11(C2×C5⋊2C8) = C12×C5⋊2C8central extension (φ=1)480C6.11(C2xC5:2C8)480,80
C6.12(C2×C5⋊2C8) = C3×C20⋊3C8central extension (φ=1)480C6.12(C2xC5:2C8)480,82
C6.13(C2×C5⋊2C8) = C6×C5⋊2C16central extension (φ=1)480C6.13(C2xC5:2C8)480,89
C6.14(C2×C5⋊2C8) = C3×C20.4C8central extension (φ=1)2402C6.14(C2xC5:2C8)480,90
C6.15(C2×C5⋊2C8) = C3×C20.55D4central extension (φ=1)240C6.15(C2xC5:2C8)480,108

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁