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

Extensions 1→N→G→Q→1 with N=Q82 and Q=C2

Direct product G=N×Q with N=Q82 and Q=C2
dρLabelID
C2×Q82128C2xQ8^2128,2209

Semidirect products G=N:Q with N=Q82 and Q=C2
extensionφ:Q→Out NdρLabelID
Q82⋊1C2 = Q8⋊SD16φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:1C2128,355
Q82⋊2C2 = Q8≀C2φ: C2/C1 → C2 ⊆ Out Q82164-Q8^2:2C2128,937
Q82⋊3C2 = Q8⋊8SD16φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:3C2128,2094
Q82⋊4C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:4C2128,2101
Q82⋊5C2 = C42.516C23φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:5C2128,2107
Q82⋊6C2 = Q8×SD16φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:6C2128,2111
Q82⋊7C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:7C2128,2117
Q82⋊8C2 = C22.91C25φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:8C2128,2234
Q82⋊9C2 = C22.92C25φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:9C2128,2235
Q82⋊10C2 = C22.107C25φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:10C2128,2250
Q82⋊11C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:11C2128,2254
Q82⋊12C2 = C22.133C25φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:12C2128,2276
Q82⋊13C2 = C22.139C25φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:13C2128,2282
Q82⋊14C2 = C22.144C25φ: C2/C1 → C2 ⊆ Out Q8264Q8^2:14C2128,2287
Q82⋊15C2 = Q8×C4○D4φ: trivial image64Q8^2:15C2128,2210
Q82⋊16C2 = C22.72C25φ: trivial image64Q8^2:16C2128,2215

Non-split extensions G=N.Q with N=Q82 and Q=C2
extensionφ:Q→Out NdρLabelID
Q82.1C2 = Q8⋊Q16φ: C2/C1 → C2 ⊆ Out Q82128Q8^2.1C2128,365
Q82.2C2 = Q8⋊3Q16φ: C2/C1 → C2 ⊆ Out Q82128Q8^2.2C2128,377
Q82.3C2 = Q8⋊5Q16φ: C2/C1 → C2 ⊆ Out Q82128Q8^2.3C2128,2095
Q82.4C2 = Q8×Q16φ: C2/C1 → C2 ⊆ Out Q82128Q8^2.4C2128,2114
Q82.5C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out Q82128Q8^2.5C2128,2119

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁