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

Extensions 1→N→G→Q→1 with N=C4.Q8 and Q=D7

Direct product G=N×Q with N=C4.Q8 and Q=D7
dρLabelID
D7×C4.Q8224D7xC4.Q8448,393

Semidirect products G=N:Q with N=C4.Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
C4.Q8⋊1D7 = D56⋊8C4φ: D7/C7 → C2 ⊆ Out C4.Q81124C4.Q8:1D7448,45
C4.Q8⋊2D7 = C8⋊(C4×D7)φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:2D7448,395
C4.Q8⋊3D7 = C56⋊7D4φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:3D7448,399
C4.Q8⋊4D7 = C8.2D28φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:4D7448,402
C4.Q8⋊5D7 = D56⋊9C4φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:5D7448,403
C4.Q8⋊6D7 = D14.2SD16φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:6D7448,396
C4.Q8⋊7D7 = D14.4SD16φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:7D7448,397
C4.Q8⋊8D7 = C8⋊8D28φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:8D7448,398
C4.Q8⋊9D7 = C4.Q8⋊D7φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:9D7448,400
C4.Q8⋊10D7 = C28.(C4○D4)φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:10D7448,401
C4.Q8⋊11D7 = D28⋊Q8φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:11D7448,404
C4.Q8⋊12D7 = D28.Q8φ: D7/C7 → C2 ⊆ Out C4.Q8224C4.Q8:12D7448,405
C4.Q8⋊13D7 = Dic7⋊8SD16φ: trivial image224C4.Q8:13D7448,386
C4.Q8⋊14D7 = (C8×D7)⋊C4φ: trivial image224C4.Q8:14D7448,394

Non-split extensions G=N.Q with N=C4.Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
C4.Q8.1D7 = C56.Q8φ: D7/C7 → C2 ⊆ Out C4.Q81124C4.Q8.1D7448,44
C4.Q8.2D7 = Dic28⋊9C4φ: D7/C7 → C2 ⊆ Out C4.Q8448C4.Q8.2D7448,387
C4.Q8.3D7 = C56⋊3Q8φ: D7/C7 → C2 ⊆ Out C4.Q8448C4.Q8.3D7448,390
C4.Q8.4D7 = Dic14⋊Q8φ: D7/C7 → C2 ⊆ Out C4.Q8448C4.Q8.4D7448,388
C4.Q8.5D7 = C56⋊5Q8φ: D7/C7 → C2 ⊆ Out C4.Q8448C4.Q8.5D7448,389
C4.Q8.6D7 = Dic14.Q8φ: D7/C7 → C2 ⊆ Out C4.Q8448C4.Q8.6D7448,391
C4.Q8.7D7 = C56.8Q8φ: D7/C7 → C2 ⊆ Out C4.Q8448C4.Q8.7D7448,392

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁