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

Extensions 1→N→G→Q→1 with N=C22×C4 and Q=Dic3

Direct product G=N×Q with N=C22×C4 and Q=Dic3
dρLabelID
Dic3×C22×C4192Dic3xC2^2xC4192,1341

Semidirect products G=N:Q with N=C22×C4 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊1Dic3 = C4×A4⋊C4φ: Dic3/C2 → S3 ⊆ Aut C22×C448(C2^2xC4):1Dic3192,969
(C22×C4)⋊2Dic3 = C24.4D6φ: Dic3/C2 → S3 ⊆ Aut C22×C448(C2^2xC4):2Dic3192,971
(C22×C4)⋊3Dic3 = C24.12D6φ: Dic3/C3 → C4 ⊆ Aut C22×C448(C2^2xC4):3Dic3192,85
(C22×C4)⋊4Dic3 = (C22×C12)⋊C4φ: Dic3/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4):4Dic3192,98
(C22×C4)⋊5Dic3 = C2×C23.7D6φ: Dic3/C3 → C4 ⊆ Aut C22×C448(C2^2xC4):5Dic3192,778
(C22×C4)⋊6Dic3 = (C6×D4)⋊10C4φ: Dic3/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4):6Dic3192,799
(C22×C4)⋊7Dic3 = C2×C6.C42φ: Dic3/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4):7Dic3192,767
(C22×C4)⋊8Dic3 = C4×C6.D4φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):8Dic3192,768
(C22×C4)⋊9Dic3 = C24.74D6φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):9Dic3192,770
(C22×C4)⋊10Dic3 = C24.75D6φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):10Dic3192,771
(C22×C4)⋊11Dic3 = C22×C4⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4):11Dic3192,1344
(C22×C4)⋊12Dic3 = C2×C23.26D6φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):12Dic3192,1345

Non-split extensions G=N.Q with N=C22×C4 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C22×C4).1Dic3 = A4⋊C16φ: Dic3/C2 → S3 ⊆ Aut C22×C4483(C2^2xC4).1Dic3192,186
(C22×C4).2Dic3 = C2×A4⋊C8φ: Dic3/C2 → S3 ⊆ Aut C22×C448(C2^2xC4).2Dic3192,967
(C22×C4).3Dic3 = A4⋊M4(2)φ: Dic3/C2 → S3 ⊆ Aut C22×C4246(C2^2xC4).3Dic3192,968
(C22×C4).4Dic3 = C24.3Dic3φ: Dic3/C3 → C4 ⊆ Aut C22×C448(C2^2xC4).4Dic3192,84
(C22×C4).5Dic3 = C12.(C4⋊C4)φ: Dic3/C3 → C4 ⊆ Aut C22×C496(C2^2xC4).5Dic3192,89
(C22×C4).6Dic3 = (C2×C12)⋊C8φ: Dic3/C3 → C4 ⊆ Aut C22×C496(C2^2xC4).6Dic3192,87
(C22×C4).7Dic3 = C24.D4φ: Dic3/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4).7Dic3192,112
(C22×C4).8Dic3 = C2×C12.10D4φ: Dic3/C3 → C4 ⊆ Aut C22×C496(C2^2xC4).8Dic3192,785
(C22×C4).9Dic3 = (C6×D4).16C4φ: Dic3/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4).9Dic3192,796
(C22×C4).10Dic3 = (C2×C12)⋊3C8φ: Dic3/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4).10Dic3192,83
(C22×C4).11Dic3 = C24.98D4φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).11Dic3192,108
(C22×C4).12Dic3 = C2×C42.S3φ: Dic3/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4).12Dic3192,480
(C22×C4).13Dic3 = C4×C4.Dic3φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).13Dic3192,481
(C22×C4).14Dic3 = C42.270D6φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).14Dic3192,485
(C22×C4).15Dic3 = C2×C12.55D4φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).15Dic3192,765
(C22×C4).16Dic3 = C24.6Dic3φ: Dic3/C6 → C2 ⊆ Aut C22×C448(C2^2xC4).16Dic3192,766
(C22×C4).17Dic3 = C2×C12⋊C8φ: Dic3/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4).17Dic3192,482
(C22×C4).18Dic3 = C12⋊7M4(2)φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).18Dic3192,483
(C22×C4).19Dic3 = C42.285D6φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).19Dic3192,484
(C22×C4).20Dic3 = C2×C12.C8φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).20Dic3192,656
(C22×C4).21Dic3 = C22×C4.Dic3φ: Dic3/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).21Dic3192,1340
(C22×C4).22Dic3 = C2×C4×C3⋊C8central extension (φ=1)192(C2^2xC4).22Dic3192,479
(C22×C4).23Dic3 = C22×C3⋊C16central extension (φ=1)192(C2^2xC4).23Dic3192,655
(C22×C4).24Dic3 = C23×C3⋊C8central extension (φ=1)192(C2^2xC4).24Dic3192,1339

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁