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

Extensions 1→N→G→Q→1 with N=D6 and Q=C4⋊C4

Direct product G=N×Q with N=D6 and Q=C4⋊C4
dρLabelID
C2×S3×C4⋊C496C2xS3xC4:C4192,1060

Semidirect products G=N:Q with N=D6 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
D6⋊1(C4⋊C4) = D6⋊(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6:1(C4:C4)192,226
D6⋊2(C4⋊C4) = D6⋊C4⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6:2(C4:C4)192,227
D6⋊3(C4⋊C4) = C4⋊(D6⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6:3(C4:C4)192,546
D6⋊4(C4⋊C4) = D6⋊C4⋊6C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6:4(C4:C4)192,548

Non-split extensions G=N.Q with N=D6 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
D6.1(C4⋊C4) = C12⋊M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6.1(C4:C4)192,396
D6.2(C4⋊C4) = C42.30D6φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6.2(C4:C4)192,398
D6.3(C4⋊C4) = (S3×C8)⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6.3(C4:C4)192,419
D6.4(C4⋊C4) = C8⋊(C4×S3)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6.4(C4:C4)192,420
D6.5(C4⋊C4) = C8.27(C4×S3)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6.5(C4:C4)192,439
D6.6(C4⋊C4) = C8⋊S3⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D696D6.6(C4:C4)192,440
D6.7(C4⋊C4) = M4(2).25D6φ: C4⋊C4/C2×C4 → C2 ⊆ Out D6484D6.7(C4:C4)192,452
D6.8(C4⋊C4) = S3×C2.C42φ: trivial image96D6.8(C4:C4)192,222
D6.9(C4⋊C4) = S3×C4⋊C8φ: trivial image96D6.9(C4:C4)192,391
D6.10(C4⋊C4) = S3×C4.Q8φ: trivial image96D6.10(C4:C4)192,418
D6.11(C4⋊C4) = S3×C2.D8φ: trivial image96D6.11(C4:C4)192,438
D6.12(C4⋊C4) = S3×C8.C4φ: trivial image484D6.12(C4:C4)192,451

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁