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

Extensions 1→N→G→Q→1 with N=C2.D8 and Q=C2

Direct product G=N×Q with N=C2.D8 and Q=C2
dρLabelID
C2×C2.D864C2xC2.D864,107

Semidirect products G=N:Q with N=C2.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D8⋊1C2 = C2.D16φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:1C264,38
C2.D8⋊2C2 = C8⋊7D4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:2C264,147
C2.D8⋊3C2 = C8.18D4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:3C264,148
C2.D8⋊4C2 = D4⋊Q8φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:4C264,155
C2.D8⋊5C2 = D4.Q8φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:5C264,159
C2.D8⋊6C2 = C22.D8φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:6C264,161
C2.D8⋊7C2 = C23.19D4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:7C264,163
C2.D8⋊8C2 = C23.48D4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:8C264,165
C2.D8⋊9C2 = C23.20D4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:9C264,166
C2.D8⋊10C2 = M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:10C264,109
C2.D8⋊11C2 = SD16⋊C4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:11C264,121
C2.D8⋊12C2 = C8⋊D4φ: C2/C1 → C2 ⊆ Out C2.D832C2.D8:12C264,149
C2.D8⋊13C2 = C23.25D4φ: trivial image32C2.D8:13C264,108
C2.D8⋊14C2 = C4×D8φ: trivial image32C2.D8:14C264,118

Non-split extensions G=N.Q with N=C2.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D8.1C2 = C2.Q32φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.1C264,39
C2.D8.2C2 = C16⋊3C4φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.2C264,47
C2.D8.3C2 = C16⋊4C4φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.3C264,48
C2.D8.4C2 = C4.Q16φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.4C264,158
C2.D8.5C2 = Q8.Q8φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.5C264,160
C2.D8.6C2 = C8.5Q8φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.6C264,180
C2.D8.7C2 = C8⋊2Q8φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.7C264,181
C2.D8.8C2 = C8⋊Q8φ: C2/C1 → C2 ⊆ Out C2.D864C2.D8.8C264,182
C2.D8.9C2 = C4×Q16φ: trivial image64C2.D8.9C264,120

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁