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

Extensions 1→N→G→Q→1 with N=S3×C3×C6 and Q=C2

Direct product G=N×Q with N=S3×C3×C6 and Q=C2
dρLabelID
S3×C6272S3xC6^2216,174

Semidirect products G=N:Q with N=S3×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C3×C6)⋊1C2 = C3×D6⋊S3φ: C2/C1 → C2 ⊆ Out S3×C3×C6244(S3xC3xC6):1C2216,121
(S3×C3×C6)⋊2C2 = C3×C3⋊D12φ: C2/C1 → C2 ⊆ Out S3×C3×C6244(S3xC3xC6):2C2216,122
(S3×C3×C6)⋊3C2 = C33⋊6D4φ: C2/C1 → C2 ⊆ Out S3×C3×C672(S3xC3xC6):3C2216,127
(S3×C3×C6)⋊4C2 = C33⋊7D4φ: C2/C1 → C2 ⊆ Out S3×C3×C636(S3xC3xC6):4C2216,128
(S3×C3×C6)⋊5C2 = C32×D12φ: C2/C1 → C2 ⊆ Out S3×C3×C672(S3xC3xC6):5C2216,137
(S3×C3×C6)⋊6C2 = C32×C3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C3×C636(S3xC3xC6):6C2216,139
(S3×C3×C6)⋊7C2 = S32×C6φ: C2/C1 → C2 ⊆ Out S3×C3×C6244(S3xC3xC6):7C2216,170
(S3×C3×C6)⋊8C2 = C2×S3×C3⋊S3φ: C2/C1 → C2 ⊆ Out S3×C3×C636(S3xC3xC6):8C2216,171

Non-split extensions G=N.Q with N=S3×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C3×C6).1C2 = C3×S3×Dic3φ: C2/C1 → C2 ⊆ Out S3×C3×C6244(S3xC3xC6).1C2216,119
(S3×C3×C6).2C2 = S3×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out S3×C3×C672(S3xC3xC6).2C2216,124
(S3×C3×C6).3C2 = S3×C3×C12φ: trivial image72(S3xC3xC6).3C2216,136

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁