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

Extensions 1→N→G→Q→1 with N=C32⋊4C8 and Q=C6

Direct product G=N×Q with N=C32⋊4C8 and Q=C6
dρLabelID
C6×C32⋊4C8144C6xC3^2:4C8432,485

Semidirect products G=N:Q with N=C32⋊4C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C32⋊4C8⋊1C6 = He3⋊8SD16φ: C6/C1 → C6 ⊆ Out C32⋊4C87212-C3^2:4C8:1C6432,152
C32⋊4C8⋊2C6 = He3⋊6D8φ: C6/C1 → C6 ⊆ Out C32⋊4C87212+C3^2:4C8:2C6432,153
C32⋊4C8⋊3C6 = He3⋊10SD16φ: C6/C1 → C6 ⊆ Out C32⋊4C87212+C3^2:4C8:3C6432,161
C32⋊4C8⋊4C6 = He3⋊5M4(2)φ: C6/C1 → C6 ⊆ Out C32⋊4C8726C3^2:4C8:4C6432,116
C32⋊4C8⋊5C6 = He3⋊7M4(2)φ: C6/C1 → C6 ⊆ Out C32⋊4C8726C3^2:4C8:5C6432,137
C32⋊4C8⋊6C6 = C8×C32⋊C6φ: C6/C2 → C3 ⊆ Out C32⋊4C8726C3^2:4C8:6C6432,115
C32⋊4C8⋊7C6 = C2×He3⋊3C8φ: C6/C2 → C3 ⊆ Out C32⋊4C8144C3^2:4C8:7C6432,136
C32⋊4C8⋊8C6 = C3×C32⋊2D8φ: C6/C3 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:8C6432,418
C32⋊4C8⋊9C6 = C3×Dic6⋊S3φ: C6/C3 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:9C6432,420
C32⋊4C8⋊10C6 = C3×C32⋊7D8φ: C6/C3 → C2 ⊆ Out C32⋊4C872C3^2:4C8:10C6432,491
C32⋊4C8⋊11C6 = C3×C32⋊9SD16φ: C6/C3 → C2 ⊆ Out C32⋊4C872C3^2:4C8:11C6432,492
C32⋊4C8⋊12C6 = C3×C32⋊11SD16φ: C6/C3 → C2 ⊆ Out C32⋊4C8144C3^2:4C8:12C6432,493
C32⋊4C8⋊13C6 = C3×S3×C3⋊C8φ: C6/C3 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:13C6432,414
C32⋊4C8⋊14C6 = C3×D6.Dic3φ: C6/C3 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:14C6432,416
C32⋊4C8⋊15C6 = C3×C24⋊S3φ: C6/C3 → C2 ⊆ Out C32⋊4C8144C3^2:4C8:15C6432,481
C32⋊4C8⋊16C6 = C3×C12.58D6φ: C6/C3 → C2 ⊆ Out C32⋊4C872C3^2:4C8:16C6432,486
C32⋊4C8⋊17C6 = C3⋊S3×C24φ: trivial image144C3^2:4C8:17C6432,480

Non-split extensions G=N.Q with N=C32⋊4C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C32⋊4C8.C6 = He3⋊6Q16φ: C6/C1 → C6 ⊆ Out C32⋊4C814412-C3^2:4C8.C6432,160
C32⋊4C8.2C6 = C3×C32⋊2Q16φ: C6/C3 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.2C6432,423
C32⋊4C8.3C6 = C3×C32⋊7Q16φ: C6/C3 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.3C6432,494
C32⋊4C8.4C6 = C3×C32⋊2C16φ: C6/C3 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.4C6432,412

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁