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

Extensions 1→N→G→Q→1 with N=C2×C3⋊D4 and Q=C2

Direct product G=N×Q with N=C2×C3⋊D4 and Q=C2
dρLabelID
C22×C3⋊D448C2^2xC3:D496,219

Semidirect products G=N:Q with N=C2×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4)⋊1C2 = D6⋊D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊D424(C2xC3:D4):1C296,89
(C2×C3⋊D4)⋊2C2 = Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):2C296,91
(C2×C3⋊D4)⋊3C2 = C12⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):3C296,137
(C2×C3⋊D4)⋊4C2 = C23⋊2D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D424(C2xC3:D4):4C296,144
(C2×C3⋊D4)⋊5C2 = D6⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):5C296,145
(C2×C3⋊D4)⋊6C2 = C23.14D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):6C296,146
(C2×C3⋊D4)⋊7C2 = C12⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):7C296,147
(C2×C3⋊D4)⋊8C2 = C24⋊4S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊D424(C2xC3:D4):8C296,160
(C2×C3⋊D4)⋊9C2 = C2×S3×D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊D424(C2xC3:D4):9C296,209
(C2×C3⋊D4)⋊10C2 = C2×D4⋊2S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):10C296,210
(C2×C3⋊D4)⋊11C2 = D4⋊6D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D4244(C2xC3:D4):11C296,211
(C2×C3⋊D4)⋊12C2 = C2×C4○D12φ: trivial image48(C2xC3:D4):12C296,208

Non-split extensions G=N.Q with N=C2×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4).1C2 = C23.6D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D4244(C2xC3:D4).1C296,13
(C2×C3⋊D4).2C2 = Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).2C296,88
(C2×C3⋊D4).3C2 = C23.9D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).3C296,90
(C2×C3⋊D4).4C2 = C23.11D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).4C296,92
(C2×C3⋊D4).5C2 = C23.21D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).5C296,93
(C2×C3⋊D4).6C2 = C23.28D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).6C296,136
(C2×C3⋊D4).7C2 = C4×C3⋊D4φ: trivial image48(C2xC3:D4).7C296,135

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁