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

Extensions 1→N→G→Q→1 with N=D28.C4 and Q=C2

Direct product G=N×Q with N=D28.C4 and Q=C2
dρLabelID
C2×D28.C4224C2xD28.C4448,1197

Semidirect products G=N:Q with N=D28.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D28.C4⋊1C2 = D8⋊5D14φ: C2/C1 → C2 ⊆ Out D28.C41128+D28.C4:1C2448,1227
D28.C4⋊2C2 = D8⋊6D14φ: C2/C1 → C2 ⊆ Out D28.C41128-D28.C4:2C2448,1228
D28.C4⋊3C2 = C56.C23φ: C2/C1 → C2 ⊆ Out D28.C41128+D28.C4:3C2448,1231
D28.C4⋊4C2 = D28.44D4φ: C2/C1 → C2 ⊆ Out D28.C42248-D28.C4:4C2448,1232
D28.C4⋊5C2 = D28.2D4φ: C2/C1 → C2 ⊆ Out D28.C41128-D28.C4:5C2448,282
D28.C4⋊6C2 = D28.3D4φ: C2/C1 → C2 ⊆ Out D28.C41128+D28.C4:6C2448,283
D28.C4⋊7C2 = D28.6D4φ: C2/C1 → C2 ⊆ Out D28.C41128+D28.C4:7C2448,288
D28.C4⋊8C2 = M4(2).22D14φ: C2/C1 → C2 ⊆ Out D28.C41124D28.C4:8C2448,357
D28.C4⋊9C2 = C42.196D14φ: C2/C1 → C2 ⊆ Out D28.C41124D28.C4:9C2448,358
D28.C4⋊10C2 = D56⋊10C4φ: C2/C1 → C2 ⊆ Out D28.C41124D28.C4:10C2448,428
D28.C4⋊11C2 = D56⋊7C4φ: C2/C1 → C2 ⊆ Out D28.C41124D28.C4:11C2448,429
D28.C4⋊12C2 = C28.70C24φ: C2/C1 → C2 ⊆ Out D28.C41124D28.C4:12C2448,1198
D28.C4⋊13C2 = C56.49C23φ: C2/C1 → C2 ⊆ Out D28.C41124D28.C4:13C2448,1203
D28.C4⋊14C2 = D7×C8○D4φ: trivial image1124D28.C4:14C2448,1202

Non-split extensions G=N.Q with N=D28.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D28.C4.C2 = D28.7D4φ: C2/C1 → C2 ⊆ Out D28.C42248-D28.C4.C2448,289

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁