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

Extensions 1→N→G→Q→1 with N=C4⋊Dic7 and Q=C4

Direct product G=N×Q with N=C4⋊Dic7 and Q=C4
dρLabelID
C4×C4⋊Dic7448C4xC4:Dic7448,468

Semidirect products G=N:Q with N=C4⋊Dic7 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊Dic7⋊1C4 = C14.C4≀C2φ: C4/C1 → C4 ⊆ Out C4⋊Dic7112C4:Dic7:1C4448,8
C4⋊Dic7⋊2C4 = C4⋊Dic7⋊C4φ: C4/C1 → C4 ⊆ Out C4⋊Dic7112C4:Dic7:2C4448,9
C4⋊Dic7⋊3C4 = C23.30D28φ: C4/C1 → C4 ⊆ Out C4⋊Dic7112C4:Dic7:3C4448,24
C4⋊Dic7⋊4C4 = C22.2D56φ: C4/C1 → C4 ⊆ Out C4⋊Dic7112C4:Dic7:4C4448,27
C4⋊Dic7⋊5C4 = C28.8C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic7112C4:Dic7:5C4448,80
C4⋊Dic7⋊6C4 = C28.9C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7:6C4448,108
C4⋊Dic7⋊7C4 = C4⋊Dic7⋊7C4φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7:7C4448,187
C4⋊Dic7⋊8C4 = C4⋊Dic7⋊8C4φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7:8C4448,188
C4⋊Dic7⋊9C4 = C28⋊4(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7:9C4448,462
C4⋊Dic7⋊10C4 = C28.C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7:10C4448,86
C4⋊Dic7⋊11C4 = C28.3C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic7112C4:Dic7:11C4448,112
C4⋊Dic7⋊12C4 = C28⋊(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7:12C4448,507
C4⋊Dic7⋊13C4 = C4⋊C4×Dic7φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7:13C4448,509

Non-split extensions G=N.Q with N=C4⋊Dic7 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊Dic7.1C4 = C42.2D14φ: C4/C1 → C4 ⊆ Out C4⋊Dic7448C4:Dic7.1C4448,22
C4⋊Dic7.2C4 = C28.47D8φ: C4/C1 → C4 ⊆ Out C4⋊Dic7448C4:Dic7.2C4448,39
C4⋊Dic7.3C4 = C28.2D8φ: C4/C1 → C4 ⊆ Out C4⋊Dic7448C4:Dic7.3C4448,43
C4⋊Dic7.4C4 = C4.8Dic28φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7.4C4448,13
C4⋊Dic7.5C4 = C4.17D56φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.5C4448,16
C4⋊Dic7.6C4 = C56⋊11Q8φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7.6C4448,213
C4⋊Dic7.7C4 = C8⋊6D28φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.7C4448,222
C4⋊Dic7.8C4 = C56⋊Q8φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7.8C4448,235
C4⋊Dic7.9C4 = C8⋊9D28φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.9C4448,240
C4⋊Dic7.10C4 = C56⋊C4⋊C2φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.10C4448,254
C4⋊Dic7.11C4 = C42.27D14φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7.11C4448,362
C4⋊Dic7.12C4 = D14⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.12C4448,370
C4⋊Dic7.13C4 = Dic7⋊C8⋊C2φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.13C4448,636
C4⋊Dic7.14C4 = D28⋊2C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.14C4448,40
C4⋊Dic7.15C4 = Dic14⋊2C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7.15C4448,41
C4⋊Dic7.16C4 = Dic14⋊C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7.16C4448,364
C4⋊Dic7.17C4 = C28.M4(2)φ: C4/C2 → C2 ⊆ Out C4⋊Dic7448C4:Dic7.17C4448,365
C4⋊Dic7.18C4 = D28⋊C8φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.18C4448,368
C4⋊Dic7.19C4 = C28⋊2M4(2)φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.19C4448,372
C4⋊Dic7.20C4 = C28.439(C2×D4)φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.20C4448,653
C4⋊Dic7.21C4 = C28.7C42φ: C4/C2 → C2 ⊆ Out C4⋊Dic7224C4:Dic7.21C4448,656
C4⋊Dic7.22C4 = C8×Dic14φ: trivial image448C4:Dic7.22C4448,212
C4⋊Dic7.23C4 = C8×D28φ: trivial image224C4:Dic7.23C4448,220
C4⋊Dic7.24C4 = C28.12C42φ: trivial image224C4:Dic7.24C4448,635

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁