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

Extensions 1→N→G→Q→1 with N=C5×C8.C22 and Q=C2

Direct product G=N×Q with N=C5×C8.C22 and Q=C2
dρLabelID
C10×C8.C22160C10xC8.C2^2320,1576

Semidirect products G=N:Q with N=C5×C8.C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8.C22)⋊1C2 = D5×C8.C22φ: C2/C1 → C2 ⊆ Out C5×C8.C22808-(C5xC8.C2^2):1C2320,1448
(C5×C8.C22)⋊2C2 = D40⋊C22φ: C2/C1 → C2 ⊆ Out C5×C8.C22808+(C5xC8.C2^2):2C2320,1449
(C5×C8.C22)⋊3C2 = C40.C23φ: C2/C1 → C2 ⊆ Out C5×C8.C22808+(C5xC8.C2^2):3C2320,1450
(C5×C8.C22)⋊4C2 = D20.44D4φ: C2/C1 → C2 ⊆ Out C5×C8.C221608-(C5xC8.C2^2):4C2320,1451
(C5×C8.C22)⋊5C2 = D20.39D4φ: C2/C1 → C2 ⊆ Out C5×C8.C22808+(C5xC8.C2^2):5C2320,829
(C5×C8.C22)⋊6C2 = M4(2).15D10φ: C2/C1 → C2 ⊆ Out C5×C8.C22808+(C5xC8.C2^2):6C2320,830
(C5×C8.C22)⋊7C2 = D20.40D4φ: C2/C1 → C2 ⊆ Out C5×C8.C22808-(C5xC8.C2^2):7C2320,832
(C5×C8.C22)⋊8C2 = C5×D4.9D4φ: C2/C1 → C2 ⊆ Out C5×C8.C22804(C5xC8.C2^2):8C2320,956
(C5×C8.C22)⋊9C2 = C5×D4.10D4φ: C2/C1 → C2 ⊆ Out C5×C8.C22804(C5xC8.C2^2):9C2320,957
(C5×C8.C22)⋊10C2 = C5×D4.3D4φ: C2/C1 → C2 ⊆ Out C5×C8.C22804(C5xC8.C2^2):10C2320,972
(C5×C8.C22)⋊11C2 = C5×D4○SD16φ: C2/C1 → C2 ⊆ Out C5×C8.C22804(C5xC8.C2^2):11C2320,1579
(C5×C8.C22)⋊12C2 = C5×Q8○D8φ: C2/C1 → C2 ⊆ Out C5×C8.C221604(C5xC8.C2^2):12C2320,1580
(C5×C8.C22)⋊13C2 = C5×D8⋊C22φ: trivial image804(C5xC8.C2^2):13C2320,1577

Non-split extensions G=N.Q with N=C5×C8.C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8.C22).1C2 = M4(2).16D10φ: C2/C1 → C2 ⊆ Out C5×C8.C221608-(C5xC8.C2^2).1C2320,831
(C5×C8.C22).2C2 = C5×D4.5D4φ: C2/C1 → C2 ⊆ Out C5×C8.C221604(C5xC8.C2^2).2C2320,974

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁