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

Extensions 1→N→G→Q→1 with N=C22.C42 and Q=C2

Direct product G=N×Q with N=C22.C42 and Q=C2
dρLabelID
C2×C22.C4264C2xC2^2.C4^2128,473

Semidirect products G=N:Q with N=C22.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.C42⋊1C2 = C4≀C2⋊C4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:1C2128,591
C22.C42⋊2C2 = C42⋊9(C2×C4)φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:2C2128,592
C22.C42⋊3C2 = C8.C22⋊C4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:3C2128,614
C22.C42⋊4C2 = C8⋊C22⋊C4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:4C2128,615
C22.C42⋊5C2 = M4(2).48D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:5C2128,639
C22.C42⋊6C2 = M4(2).49D4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2:6C2128,640
C22.C42⋊7C2 = M4(2)⋊D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:7C2128,738
C22.C42⋊8C2 = M4(2)⋊4D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:8C2128,739
C22.C42⋊9C2 = M4(2).10D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:9C2128,783
C22.C42⋊10C2 = M4(2).11D4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2:10C2128,784
C22.C42⋊11C2 = C2.C2≀C4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:11C2128,77
C22.C42⋊12C2 = C42.96D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:12C2128,532
C22.C42⋊13C2 = C4○D4.4Q8φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2:13C2128,547
C22.C42⋊14C2 = C4○D4.5Q8φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2:14C2128,548
C22.C42⋊15C2 = (C22×C4).275D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:15C2128,553
C22.C42⋊16C2 = (C22×C4).276D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:16C2128,554
C22.C42⋊17C2 = M4(2)⋊20D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:17C2128,632
C22.C42⋊18C2 = M4(2).45D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:18C2128,633
C22.C42⋊19C2 = C4.D4⋊3C4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:19C2128,663
C22.C42⋊20C2 = (C2×D4)⋊2Q8φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:20C2128,759
C22.C42⋊21C2 = C42⋊11D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:21C2128,771
C22.C42⋊22C2 = C42⋊12D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:22C2128,772
C22.C42⋊23C2 = M4(2).12D4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2:23C2128,795
C22.C42⋊24C2 = (C2×C8).55D4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2:24C2128,810
C22.C42⋊25C2 = (C2×C8).165D4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2:25C2128,811
C22.C42⋊26C2 = C23.15C42φ: trivial image32C2^2.C4^2:26C2128,474
C22.C42⋊27C2 = C4×C4.D4φ: trivial image32C2^2.C4^2:27C2128,487

Non-split extensions G=N.Q with N=C22.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.C42.1C2 = M4(2).5Q8φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.1C2128,683
C22.C42.2C2 = M4(2).6Q8φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.2C2128,684
C22.C42.3C2 = M4(2)⋊Q8φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2.3C2128,792
C22.C42.4C2 = C42⋊3Q8φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2.4C2128,793
C22.C42.5C2 = M4(2).Q8φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.5C2128,821
C22.C42.6C2 = M4(2).2Q8φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.6C2128,822
C22.C42.7C2 = (C2×C4).D8φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2.7C2128,78
C22.C42.8C2 = (C2×C4).Q16φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2.8C2128,85
C22.C42.9C2 = C2.7C2≀C4φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2.9C2128,86
C22.C42.10C2 = C42.97D4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.10C2128,533
C22.C42.11C2 = C4.10D4⋊3C4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.11C2128,662
C22.C42.12C2 = M4(2)⋊8Q8φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.12C2128,729
C22.C42.13C2 = C42.128D4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.13C2128,730
C22.C42.14C2 = (C2×Q8)⋊2Q8φ: C2/C1 → C2 ⊆ Out C22.C4232C2^2.C4^2.14C2128,760
C22.C42.15C2 = M4(2).13D4φ: C2/C1 → C2 ⊆ Out C22.C4264C2^2.C4^2.15C2128,796
C22.C42.16C2 = C4×C4.10D4φ: trivial image64C2^2.C4^2.16C2128,488

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁