Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C7:C8 and Q=C2xC4

Direct product G=NxQ with N=C7:C8 and Q=C2xC4
dρLabelID
C2xC4xC7:C8448C2xC4xC7:C8448,454

Semidirect products G=N:Q with N=C7:C8 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
C7:C8:1(C2xC4) = D4.D7:C4φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:1(C2xC4)448,291
C7:C8:2(C2xC4) = D4:D7:C4φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:2(C2xC4)448,319
C7:C8:3(C2xC4) = Q8:D7:C4φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:3(C2xC4)448,351
C7:C8:4(C2xC4) = C8:(C4xD7)φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:4(C2xC4)448,395
C7:C8:5(C2xC4) = C56:(C2xC4)φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:5(C2xC4)448,415
C7:C8:6(C2xC4) = C4.Dic7:C4φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:6(C2xC4)448,498
C7:C8:7(C2xC4) = C28.(C2xQ8)φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:7(C2xC4)448,529
C7:C8:8(C2xC4) = C42.48D14φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:8(C2xC4)448,548
C7:C8:9(C2xC4) = C42.51D14φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:9(C2xC4)448,552
C7:C8:10(C2xC4) = C42.56D14φ: C2xC4/C2 → C22 ⊆ Out C7:C8224C7:C8:10(C2xC4)448,560
C7:C8:11(C2xC4) = Dic7:4D8φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:11(C2xC4)448,290
C7:C8:12(C2xC4) = Dic7:6SD16φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:12(C2xC4)448,292
C7:C8:13(C2xC4) = Dic7:7SD16φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:13(C2xC4)448,322
C7:C8:14(C2xC4) = C4xD4:D7φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:14(C2xC4)448,547
C7:C8:15(C2xC4) = C4xD4.D7φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:15(C2xC4)448,551
C7:C8:16(C2xC4) = C4xQ8:D7φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:16(C2xC4)448,559
C7:C8:17(C2xC4) = C4xC8:D7φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:17(C2xC4)448,221
C7:C8:18(C2xC4) = Dic7.C42φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:18(C2xC4)448,241
C7:C8:19(C2xC4) = C4xC4.Dic7φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:19(C2xC4)448,456
C7:C8:20(C2xC4) = M4(2)xDic7φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8:20(C2xC4)448,651
C7:C8:21(C2xC4) = D7xC4.Q8φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8:21(C2xC4)448,393
C7:C8:22(C2xC4) = D7xC2.D8φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8:22(C2xC4)448,413
C7:C8:23(C2xC4) = C2xC28.Q8φ: C2xC4/C22 → C2 ⊆ Out C7:C8448C7:C8:23(C2xC4)448,496
C7:C8:24(C2xC4) = C2xC4.Dic14φ: C2xC4/C22 → C2 ⊆ Out C7:C8448C7:C8:24(C2xC4)448,497
C7:C8:25(C2xC4) = D7xC8:C4φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8:25(C2xC4)448,238
C7:C8:26(C2xC4) = C2xC42.D7φ: C2xC4/C22 → C2 ⊆ Out C7:C8448C7:C8:26(C2xC4)448,455
C7:C8:27(C2xC4) = C2xC56:C4φ: C2xC4/C22 → C2 ⊆ Out C7:C8448C7:C8:27(C2xC4)448,634
C7:C8:28(C2xC4) = D7xC4xC8φ: trivial image224C7:C8:28(C2xC4)448,218
C7:C8:29(C2xC4) = C2xC8xDic7φ: trivial image448C7:C8:29(C2xC4)448,632

Non-split extensions G=N.Q with N=C7:C8 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
C7:C8.1(C2xC4) = C7:Q16:C4φ: C2xC4/C2 → C22 ⊆ Out C7:C8448C7:C8.1(C2xC4)448,323
C7:C8.2(C2xC4) = M4(2).22D14φ: C2xC4/C2 → C22 ⊆ Out C7:C81124C7:C8.2(C2xC4)448,357
C7:C8.3(C2xC4) = M4(2).25D14φ: C2xC4/C2 → C22 ⊆ Out C7:C81124C7:C8.3(C2xC4)448,427
C7:C8.4(C2xC4) = C42.59D14φ: C2xC4/C2 → C22 ⊆ Out C7:C8448C7:C8.4(C2xC4)448,564
C7:C8.5(C2xC4) = C23.Dic14φ: C2xC4/C2 → C22 ⊆ Out C7:C81124C7:C8.5(C2xC4)448,658
C7:C8.6(C2xC4) = C56.50D4φ: C2xC4/C2 → C22 ⊆ Out C7:C81124C7:C8.6(C2xC4)448,679
C7:C8.7(C2xC4) = Dic7:4Q16φ: C2xC4/C4 → C2 ⊆ Out C7:C8448C7:C8.7(C2xC4)448,324
C7:C8.8(C2xC4) = C42.196D14φ: C2xC4/C4 → C2 ⊆ Out C7:C81124C7:C8.8(C2xC4)448,358
C7:C8.9(C2xC4) = C4xC7:Q16φ: C2xC4/C4 → C2 ⊆ Out C7:C8448C7:C8.9(C2xC4)448,563
C7:C8.10(C2xC4) = C56.93D4φ: C2xC4/C4 → C2 ⊆ Out C7:C81124C7:C8.10(C2xC4)448,678
C7:C8.11(C2xC4) = D14.C42φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8.11(C2xC4)448,223
C7:C8.12(C2xC4) = D14.4C42φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8.12(C2xC4)448,242
C7:C8.13(C2xC4) = D28.4C8φ: C2xC4/C4 → C2 ⊆ Out C7:C82242C7:C8.13(C2xC4)448,435
C7:C8.14(C2xC4) = C16.12D14φ: C2xC4/C4 → C2 ⊆ Out C7:C82244C7:C8.14(C2xC4)448,441
C7:C8.15(C2xC4) = C28.12C42φ: C2xC4/C4 → C2 ⊆ Out C7:C8224C7:C8.15(C2xC4)448,635
C7:C8.16(C2xC4) = (C8xD7):C4φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8.16(C2xC4)448,394
C7:C8.17(C2xC4) = C8.27(C4xD7)φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8.17(C2xC4)448,414
C7:C8.18(C2xC4) = D7xC8.C4φ: C2xC4/C22 → C2 ⊆ Out C7:C81124C7:C8.18(C2xC4)448,426
C7:C8.19(C2xC4) = C28.45(C4:C4)φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8.19(C2xC4)448,532
C7:C8.20(C2xC4) = C2xC28.53D4φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8.20(C2xC4)448,657
C7:C8.21(C2xC4) = C2xC16:D7φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8.21(C2xC4)448,434
C7:C8.22(C2xC4) = D7xM5(2)φ: C2xC4/C22 → C2 ⊆ Out C7:C81124C7:C8.22(C2xC4)448,440
C7:C8.23(C2xC4) = C28.5C42φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8.23(C2xC4)448,531
C7:C8.24(C2xC4) = C28.7C42φ: C2xC4/C22 → C2 ⊆ Out C7:C8224C7:C8.24(C2xC4)448,656
C7:C8.25(C2xC4) = D7xC2xC16φ: trivial image224C7:C8.25(C2xC4)448,433

׿
x
:
Z
F
o
wr
Q
<