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

Extensions 1→N→G→Q→1 with N=C4⋊C4 and Q=C12

Direct product G=N×Q with N=C4⋊C4 and Q=C12
dρLabelID
C12×C4⋊C4192C12xC4:C4192,811

Semidirect products G=N:Q with N=C4⋊C4 and Q=C12
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊1C12 = C3×C22.SD16φ: C12/C3 → C4 ⊆ Out C4⋊C448C4:C4:1C12192,133
C4⋊C4⋊2C12 = C3×C23.31D4φ: C12/C3 → C4 ⊆ Out C4⋊C448C4:C4:2C12192,134
C4⋊C4⋊3C12 = C3×C42⋊6C4φ: C12/C6 → C2 ⊆ Out C4⋊C448C4:C4:3C12192,145
C4⋊C4⋊4C12 = C3×C22.4Q16φ: C12/C6 → C2 ⊆ Out C4⋊C4192C4:C4:4C12192,146
C4⋊C4⋊5C12 = C3×C23.63C23φ: C12/C6 → C2 ⊆ Out C4⋊C4192C4:C4:5C12192,820
C4⋊C4⋊6C12 = C3×C23.65C23φ: C12/C6 → C2 ⊆ Out C4⋊C4192C4:C4:6C12192,822

Non-split extensions G=N.Q with N=C4⋊C4 and Q=C12
extensionφ:Q→Out NdρLabelID
C4⋊C4.1C12 = C3×C42.2C22φ: C12/C3 → C4 ⊆ Out C4⋊C4192C4:C4.1C12192,136
C4⋊C4.2C12 = C3×C4.10D8φ: C12/C3 → C4 ⊆ Out C4⋊C4192C4:C4.2C12192,138
C4⋊C4.3C12 = C3×D4⋊C8φ: C12/C6 → C2 ⊆ Out C4⋊C496C4:C4.3C12192,131
C4⋊C4.4C12 = C3×Q8⋊C8φ: C12/C6 → C2 ⊆ Out C4⋊C4192C4:C4.4C12192,132
C4⋊C4.5C12 = C3×C42.6C22φ: C12/C6 → C2 ⊆ Out C4⋊C496C4:C4.5C12192,857
C4⋊C4.6C12 = C3×C42.7C22φ: C12/C6 → C2 ⊆ Out C4⋊C496C4:C4.6C12192,866
C4⋊C4.7C12 = C3×C8⋊9D4φ: C12/C6 → C2 ⊆ Out C4⋊C496C4:C4.7C12192,868
C4⋊C4.8C12 = C3×C8⋊6D4φ: C12/C6 → C2 ⊆ Out C4⋊C496C4:C4.8C12192,869
C4⋊C4.9C12 = C3×C8⋊4Q8φ: C12/C6 → C2 ⊆ Out C4⋊C4192C4:C4.9C12192,879
C4⋊C4.10C12 = C3×C8○2M4(2)φ: trivial image96C4:C4.10C12192,838
C4⋊C4.11C12 = D4×C24φ: trivial image96C4:C4.11C12192,867
C4⋊C4.12C12 = Q8×C24φ: trivial image192C4:C4.12C12192,878

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁