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

Extensions 1→N→G→Q→1 with N=D6 and Q=C3⋊D4

Direct product G=N×Q with N=D6 and Q=C3⋊D4
dρLabelID
C2×S3×C3⋊D448C2xS3xC3:D4288,976

Semidirect products G=N:Q with N=D6 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
D6⋊1(C3⋊D4) = C62.55C23φ: C3⋊D4/Dic3 → C2 ⊆ Out D696D6:1(C3:D4)288,533
D6⋊2(C3⋊D4) = Dic3⋊D12φ: C3⋊D4/Dic3 → C2 ⊆ Out D648D6:2(C3:D4)288,534
D6⋊3(C3⋊D4) = C62.112C23φ: C3⋊D4/Dic3 → C2 ⊆ Out D648D6:3(C3:D4)288,618
D6⋊4(C3⋊D4) = C62.113C23φ: C3⋊D4/Dic3 → C2 ⊆ Out D648D6:4(C3:D4)288,619
D6⋊5(C3⋊D4) = D6⋊4D12φ: C3⋊D4/D6 → C2 ⊆ Out D648D6:5(C3:D4)288,570
D6⋊6(C3⋊D4) = C62.125C23φ: C3⋊D4/D6 → C2 ⊆ Out D648D6:6(C3:D4)288,631
D6⋊7(C3⋊D4) = C62⋊4D4φ: C3⋊D4/C2×C6 → C2 ⊆ Out D648D6:7(C3:D4)288,624
D6⋊8(C3⋊D4) = C62⋊5D4φ: C3⋊D4/C2×C6 → C2 ⊆ Out D648D6:8(C3:D4)288,625

Non-split extensions G=N.Q with N=D6 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
D6.1(C3⋊D4) = D12.22D6φ: C3⋊D4/Dic3 → C2 ⊆ Out D6488-D6.1(C3:D4)288,581
D6.2(C3⋊D4) = Dic6.20D6φ: C3⋊D4/Dic3 → C2 ⊆ Out D6488+D6.2(C3:D4)288,583
D6.3(C3⋊D4) = D12.12D6φ: C3⋊D4/Dic3 → C2 ⊆ Out D6968-D6.3(C3:D4)288,595
D6.4(C3⋊D4) = D12.13D6φ: C3⋊D4/Dic3 → C2 ⊆ Out D6488+D6.4(C3:D4)288,597
D6.5(C3⋊D4) = C62.54C23φ: C3⋊D4/D6 → C2 ⊆ Out D696D6.5(C3:D4)288,532
D6.6(C3⋊D4) = Dic6⋊3D6φ: C3⋊D4/D6 → C2 ⊆ Out D6488+D6.6(C3:D4)288,573
D6.7(C3⋊D4) = Dic6.19D6φ: C3⋊D4/D6 → C2 ⊆ Out D6488-D6.7(C3:D4)288,577
D6.8(C3⋊D4) = D12⋊6D6φ: C3⋊D4/D6 → C2 ⊆ Out D6488+D6.8(C3:D4)288,587
D6.9(C3⋊D4) = D12.11D6φ: C3⋊D4/D6 → C2 ⊆ Out D6968-D6.9(C3:D4)288,591
D6.10(C3⋊D4) = C62.111C23φ: C3⋊D4/D6 → C2 ⊆ Out D648D6.10(C3:D4)288,617
D6.11(C3⋊D4) = C62.20C23φ: C3⋊D4/C2×C6 → C2 ⊆ Out D648D6.11(C3:D4)288,498
D6.12(C3⋊D4) = C62.75C23φ: C3⋊D4/C2×C6 → C2 ⊆ Out D696D6.12(C3:D4)288,553
D6.13(C3⋊D4) = D12⋊9D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out D6488-D6.13(C3:D4)288,580
D6.14(C3⋊D4) = D12.7D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out D6488+D6.14(C3:D4)288,582
D6.15(C3⋊D4) = D12.24D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out D6968-D6.15(C3:D4)288,594
D6.16(C3⋊D4) = Dic6.22D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out D6488+D6.16(C3:D4)288,596
D6.17(C3⋊D4) = S3×Dic3⋊C4φ: trivial image96D6.17(C3:D4)288,524
D6.18(C3⋊D4) = S3×D6⋊C4φ: trivial image48D6.18(C3:D4)288,568
D6.19(C3⋊D4) = S3×D4⋊S3φ: trivial image488+D6.19(C3:D4)288,572
D6.20(C3⋊D4) = S3×D4.S3φ: trivial image488-D6.20(C3:D4)288,576
D6.21(C3⋊D4) = S3×Q8⋊2S3φ: trivial image488+D6.21(C3:D4)288,586
D6.22(C3⋊D4) = S3×C3⋊Q16φ: trivial image968-D6.22(C3:D4)288,590
D6.23(C3⋊D4) = S3×C6.D4φ: trivial image48D6.23(C3:D4)288,616

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁