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

Extensions 1→N→G→Q→1 with N=C36 and Q=C12

Direct product G=N×Q with N=C36 and Q=C12
dρLabelID
C12×C36432C12xC36432,200

Semidirect products G=N:Q with N=C36 and Q=C12
extensionφ:Q→Aut NdρLabelID
C36⋊1C12 = C36⋊C12φ: C12/C2 → C6 ⊆ Aut C36144C36:1C12432,146
C36⋊2C12 = C4×C9⋊C12φ: C12/C2 → C6 ⊆ Aut C36144C36:2C12432,144
C36⋊3C12 = C4⋊C4×3- 1+2φ: C12/C2 → C6 ⊆ Aut C36144C36:3C12432,208
C36⋊4C12 = C42×3- 1+2φ: C12/C4 → C3 ⊆ Aut C36144C36:4C12432,202
C36⋊5C12 = C3×C4⋊Dic9φ: C12/C6 → C2 ⊆ Aut C36144C36:5C12432,130
C36⋊6C12 = C12×Dic9φ: C12/C6 → C2 ⊆ Aut C36144C36:6C12432,128
C36⋊7C12 = C4⋊C4×C3×C9φ: C12/C6 → C2 ⊆ Aut C36432C36:7C12432,206

Non-split extensions G=N.Q with N=C36 and Q=C12
extensionφ:Q→Aut NdρLabelID
C36.1C12 = C36.C12φ: C12/C2 → C6 ⊆ Aut C36726C36.1C12432,143
C36.2C12 = C9⋊C48φ: C12/C2 → C6 ⊆ Aut C361446C36.2C12432,31
C36.3C12 = C2×C9⋊C24φ: C12/C2 → C6 ⊆ Aut C36144C36.3C12432,142
C36.4C12 = M4(2)×3- 1+2φ: C12/C2 → C6 ⊆ Aut C36726C36.4C12432,214
C36.5C12 = C16×3- 1+2φ: C12/C4 → C3 ⊆ Aut C361443C36.5C12432,36
C36.6C12 = C2×C8×3- 1+2φ: C12/C4 → C3 ⊆ Aut C36144C36.6C12432,211
C36.7C12 = C3×C4.Dic9φ: C12/C6 → C2 ⊆ Aut C36722C36.7C12432,125
C36.8C12 = C3×C9⋊C16φ: C12/C6 → C2 ⊆ Aut C361442C36.8C12432,28
C36.9C12 = C6×C9⋊C8φ: C12/C6 → C2 ⊆ Aut C36144C36.9C12432,124
C36.10C12 = C4⋊C4×C27φ: C12/C6 → C2 ⊆ Aut C36432C36.10C12432,22
C36.11C12 = M4(2)×C27φ: C12/C6 → C2 ⊆ Aut C362162C36.11C12432,24
C36.12C12 = M4(2)×C3×C9φ: C12/C6 → C2 ⊆ Aut C36216C36.12C12432,212

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁