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

Extensions 1→N→G→Q→1 with N=D5×D12 and Q=C2

Direct product G=N×Q with N=D5×D12 and Q=C2
dρLabelID
C2×D5×D12120C2xD5xD12480,1087

Semidirect products G=N:Q with N=D5×D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×D12)⋊1C2 = D5×D4⋊S3φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12):1C2480,553
(D5×D12)⋊2C2 = Dic10⋊3D6φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12):2C2480,554
(D5×D12)⋊3C2 = D20⋊D6φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12):3C2480,578
(D5×D12)⋊4C2 = S3×D4×D5φ: C2/C1 → C2 ⊆ Out D5×D12608+(D5xD12):4C2480,1097
(D5×D12)⋊5C2 = D12⋊14D10φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12):5C2480,1103
(D5×D12)⋊6C2 = D5×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12):6C2480,1108
(D5×D12)⋊7C2 = D20⋊17D6φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12):7C2480,1111
(D5×D12)⋊8C2 = D5×D24φ: C2/C1 → C2 ⊆ Out D5×D121204+(D5xD12):8C2480,324
(D5×D12)⋊9C2 = C24⋊D10φ: C2/C1 → C2 ⊆ Out D5×D121204+(D5xD12):9C2480,325
(D5×D12)⋊10C2 = D24⋊D5φ: C2/C1 → C2 ⊆ Out D5×D121204(D5xD12):10C2480,326
(D5×D12)⋊11C2 = D20⋊26D6φ: C2/C1 → C2 ⊆ Out D5×D121204(D5xD12):11C2480,1094
(D5×D12)⋊12C2 = D20⋊29D6φ: C2/C1 → C2 ⊆ Out D5×D121204+(D5xD12):12C2480,1095
(D5×D12)⋊13C2 = D5×C4○D12φ: trivial image1204(D5xD12):13C2480,1090

Non-split extensions G=N.Q with N=D5×D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×D12).1C2 = D5×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12).1C2480,577
(D5×D12).2C2 = D5×C24⋊C2φ: C2/C1 → C2 ⊆ Out D5×D121204(D5xD12).2C2480,323
(D5×D12).3C2 = D60⋊C4φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12).3C2480,227
(D5×D12).4C2 = D60⋊3C4φ: C2/C1 → C2 ⊆ Out D5×D12608+(D5xD12).4C2480,997
(D5×D12).5C2 = D12⋊F5φ: C2/C1 → C2 ⊆ Out D5×D121208+(D5xD12).5C2480,228
(D5×D12).6C2 = F5×D12φ: C2/C1 → C2 ⊆ Out D5×D12608+(D5xD12).6C2480,995

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁