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

Extensions 1→N→G→Q→1 with N=C22×C10 and Q=C12

Direct product G=N×Q with N=C22×C10 and Q=C12
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C22×C10 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C22×C10)⋊C12 = C2×A4×F5φ: C12/C1 → C12 ⊆ Aut C22×C103012+(C2^2xC10):C12480,1192
(C22×C10)⋊2C12 = C2×A4×Dic5φ: C12/C2 → C6 ⊆ Aut C22×C10120(C2^2xC10):2C12480,1044
(C22×C10)⋊3C12 = C15×C23⋊C4φ: C12/C3 → C4 ⊆ Aut C22×C101204(C2^2xC10):3C12480,202
(C22×C10)⋊4C12 = C3×C23⋊Dic5φ: C12/C3 → C4 ⊆ Aut C22×C101204(C2^2xC10):4C12480,112
(C22×C10)⋊5C12 = C3×C23⋊F5φ: C12/C3 → C4 ⊆ Aut C22×C101204(C2^2xC10):5C12480,291
(C22×C10)⋊6C12 = C6×C22⋊F5φ: C12/C3 → C4 ⊆ Aut C22×C10120(C2^2xC10):6C12480,1059
(C22×C10)⋊7C12 = F5×C22×C6φ: C12/C3 → C4 ⊆ Aut C22×C10120(C2^2xC10):7C12480,1205
(C22×C10)⋊8C12 = A4×C2×C20φ: C12/C4 → C3 ⊆ Aut C22×C10120(C2^2xC10):8C12480,1126
(C22×C10)⋊9C12 = C22⋊C4×C30φ: C12/C6 → C2 ⊆ Aut C22×C10240(C2^2xC10):9C12480,920
(C22×C10)⋊10C12 = C6×C23.D5φ: C12/C6 → C2 ⊆ Aut C22×C10240(C2^2xC10):10C12480,745
(C22×C10)⋊11C12 = Dic5×C22×C6φ: C12/C6 → C2 ⊆ Aut C22×C10480(C2^2xC10):11C12480,1148

Non-split extensions G=N.Q with N=C22×C10 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C22×C10).C12 = A4×C5⋊C8φ: C12/C1 → C12 ⊆ Aut C22×C1012012-(C2^2xC10).C12480,966
(C22×C10).2C12 = A4×C5⋊2C8φ: C12/C2 → C6 ⊆ Aut C22×C101206(C2^2xC10).2C12480,265
(C22×C10).3C12 = C15×C4.D4φ: C12/C3 → C4 ⊆ Aut C22×C101204(C2^2xC10).3C12480,203
(C22×C10).4C12 = C3×C20.D4φ: C12/C3 → C4 ⊆ Aut C22×C101204(C2^2xC10).4C12480,111
(C22×C10).5C12 = C3×C23.2F5φ: C12/C3 → C4 ⊆ Aut C22×C10240(C2^2xC10).5C12480,292
(C22×C10).6C12 = C3×C23.F5φ: C12/C3 → C4 ⊆ Aut C22×C101204(C2^2xC10).6C12480,293
(C22×C10).7C12 = C2×C6×C5⋊C8φ: C12/C3 → C4 ⊆ Aut C22×C10480(C2^2xC10).7C12480,1057
(C22×C10).8C12 = C6×C22.F5φ: C12/C3 → C4 ⊆ Aut C22×C10240(C2^2xC10).8C12480,1058
(C22×C10).9C12 = A4×C40φ: C12/C4 → C3 ⊆ Aut C22×C101203(C2^2xC10).9C12480,659
(C22×C10).10C12 = C15×C22⋊C8φ: C12/C6 → C2 ⊆ Aut C22×C10240(C2^2xC10).10C12480,201
(C22×C10).11C12 = M4(2)×C30φ: C12/C6 → C2 ⊆ Aut C22×C10240(C2^2xC10).11C12480,935
(C22×C10).12C12 = C3×C20.55D4φ: C12/C6 → C2 ⊆ Aut C22×C10240(C2^2xC10).12C12480,108
(C22×C10).13C12 = C2×C6×C5⋊2C8φ: C12/C6 → C2 ⊆ Aut C22×C10480(C2^2xC10).13C12480,713
(C22×C10).14C12 = C6×C4.Dic5φ: C12/C6 → C2 ⊆ Aut C22×C10240(C2^2xC10).14C12480,714

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁