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

Extensions 1→N→G→Q→1 with N=C4⋊C4 and Q=Dic3

Direct product G=N×Q with N=C4⋊C4 and Q=Dic3
dρLabelID
Dic3×C4⋊C4192Dic3xC4:C4192,533

Semidirect products G=N:Q with N=C4⋊C4 and Q=Dic3
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊1Dic3 = (C6×D4)⋊C4φ: Dic3/C3 → C4 ⊆ Out C4⋊C448C4:C4:1Dic3192,96
C4⋊C4⋊2Dic3 = (C6×Q8)⋊C4φ: Dic3/C3 → C4 ⊆ Out C4⋊C448C4:C4:2Dic3192,97
C4⋊C4⋊3Dic3 = C12.C42φ: Dic3/C6 → C2 ⊆ Out C4⋊C4192C4:C4:3Dic3192,88
C4⋊C4⋊4Dic3 = C12.2C42φ: Dic3/C6 → C2 ⊆ Out C4⋊C448C4:C4:4Dic3192,91
C4⋊C4⋊5Dic3 = C4⋊C4⋊5Dic3φ: Dic3/C6 → C2 ⊆ Out C4⋊C4192C4:C4:5Dic3192,539
C4⋊C4⋊6Dic3 = C4⋊C4⋊6Dic3φ: Dic3/C6 → C2 ⊆ Out C4⋊C4192C4:C4:6Dic3192,543

Non-split extensions G=N.Q with N=C4⋊C4 and Q=Dic3
extensionφ:Q→Out NdρLabelID
C4⋊C4.1Dic3 = C42.8D6φ: Dic3/C3 → C4 ⊆ Out C4⋊C4192C4:C4.1Dic3192,102
C4⋊C4.2Dic3 = C12.10D8φ: Dic3/C3 → C4 ⊆ Out C4⋊C4192C4:C4.2Dic3192,106
C4⋊C4.3Dic3 = C12.57D8φ: Dic3/C6 → C2 ⊆ Out C4⋊C496C4:C4.3Dic3192,93
C4⋊C4.4Dic3 = C12.26Q16φ: Dic3/C6 → C2 ⊆ Out C4⋊C4192C4:C4.4Dic3192,94
C4⋊C4.5Dic3 = C42.43D6φ: Dic3/C6 → C2 ⊆ Out C4⋊C496C4:C4.5Dic3192,558
C4⋊C4.6Dic3 = C42.187D6φ: Dic3/C6 → C2 ⊆ Out C4⋊C496C4:C4.6Dic3192,559
C4⋊C4.7Dic3 = C42.47D6φ: Dic3/C6 → C2 ⊆ Out C4⋊C496C4:C4.7Dic3192,570
C4⋊C4.8Dic3 = C12⋊3M4(2)φ: Dic3/C6 → C2 ⊆ Out C4⋊C496C4:C4.8Dic3192,571
C4⋊C4.9Dic3 = C42.210D6φ: Dic3/C6 → C2 ⊆ Out C4⋊C4192C4:C4.9Dic3192,583
C4⋊C4.10Dic3 = C12.5C42φ: trivial image96C4:C4.10Dic3192,556
C4⋊C4.11Dic3 = D4×C3⋊C8φ: trivial image96C4:C4.11Dic3192,569
C4⋊C4.12Dic3 = Q8×C3⋊C8φ: trivial image192C4:C4.12Dic3192,582

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁