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

Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×D4

Direct product G=N×Q with N=Q8 and Q=C2×D4
dρLabelID
C2×D4×Q864C2xD4xQ8128,2198

Semidirect products G=N:Q with N=Q8 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Q8⋊1(C2×D4) = C2×C4⋊SD16φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8:1(C2xD4)128,1764
Q8⋊2(C2×D4) = C42.444D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q832Q8:2(C2xD4)128,1770
Q8⋊3(C2×D4) = SD16⋊D4φ: C2×D4/D4 → C2 ⊆ Out Q832Q8:3(C2xD4)128,1997
Q8⋊4(C2×D4) = SD16⋊1D4φ: C2×D4/D4 → C2 ⊆ Out Q832Q8:4(C2xD4)128,2006
Q8⋊5(C2×D4) = D4×SD16φ: C2×D4/D4 → C2 ⊆ Out Q832Q8:5(C2xD4)128,2013
Q8⋊6(C2×D4) = C2×Q8⋊D4φ: C2×D4/C23 → C2 ⊆ Out Q864Q8:6(C2xD4)128,1730
Q8⋊7(C2×D4) = C2×D4⋊D4φ: C2×D4/C23 → C2 ⊆ Out Q864Q8:7(C2xD4)128,1732
Q8⋊8(C2×D4) = C24.105D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8:8(C2xD4)128,1738
Q8⋊9(C2×D4) = C2×D4⋊4D4φ: C2×D4/C23 → C2 ⊆ Out Q816Q8:9(C2xD4)128,1746
Q8⋊10(C2×D4) = C2×Q8⋊5D4φ: trivial image64Q8:10(C2xD4)128,2197
Q8⋊11(C2×D4) = C2×Q8⋊6D4φ: trivial image64Q8:11(C2xD4)128,2199
Q8⋊12(C2×D4) = D4×C4○D4φ: trivial image32Q8:12(C2xD4)128,2200
Q8⋊13(C2×D4) = C22.77C25φ: trivial image32Q8:13(C2xD4)128,2220
Q8⋊14(C2×D4) = C22.87C25φ: trivial image32Q8:14(C2xD4)128,2230

Non-split extensions G=N.Q with N=Q8 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Q8.1(C2×D4) = C2×C4⋊2Q16φ: C2×D4/C2×C4 → C2 ⊆ Out Q8128Q8.1(C2xD4)128,1765
Q8.2(C2×D4) = C2×Q8.D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8.2(C2xD4)128,1766
Q8.3(C2×D4) = C42.443D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8.3(C2xD4)128,1767
Q8.4(C2×D4) = C42.212D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8.4(C2xD4)128,1769
Q8.5(C2×D4) = C42.445D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8.5(C2xD4)128,1771
Q8.6(C2×D4) = C42.446D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q832Q8.6(C2xD4)128,1772
Q8.7(C2×D4) = C42.16C23φ: C2×D4/C2×C4 → C2 ⊆ Out Q832Q8.7(C2xD4)128,1775
Q8.8(C2×D4) = C42.17C23φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8.8(C2xD4)128,1776
Q8.9(C2×D4) = C42.18C23φ: C2×D4/C2×C4 → C2 ⊆ Out Q832Q8.9(C2xD4)128,1777
Q8.10(C2×D4) = C42.19C23φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8.10(C2xD4)128,1778
Q8.11(C2×D4) = C2×D4.3D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q832Q8.11(C2xD4)128,1796
Q8.12(C2×D4) = C2×D4.4D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q832Q8.12(C2xD4)128,1797
Q8.13(C2×D4) = C2×D4.5D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q864Q8.13(C2xD4)128,1798
Q8.14(C2×D4) = M4(2).10C23φ: C2×D4/C2×C4 → C2 ⊆ Out Q8324Q8.14(C2xD4)128,1799
Q8.15(C2×D4) = M4(2).37D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q8168+Q8.15(C2xD4)128,1800
Q8.16(C2×D4) = M4(2).38D4φ: C2×D4/C2×C4 → C2 ⊆ Out Q8328-Q8.16(C2xD4)128,1801
Q8.17(C2×D4) = SD16⋊6D4φ: C2×D4/D4 → C2 ⊆ Out Q832Q8.17(C2xD4)128,1998
Q8.18(C2×D4) = SD16⋊7D4φ: C2×D4/D4 → C2 ⊆ Out Q832Q8.18(C2xD4)128,2000
Q8.19(C2×D4) = SD16⋊8D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.19(C2xD4)128,2001
Q8.20(C2×D4) = Q16⋊9D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.20(C2xD4)128,2002
Q8.21(C2×D4) = Q16⋊10D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.21(C2xD4)128,2003
Q8.22(C2×D4) = SD16⋊2D4φ: C2×D4/D4 → C2 ⊆ Out Q832Q8.22(C2xD4)128,2007
Q8.23(C2×D4) = SD16⋊3D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.23(C2xD4)128,2008
Q8.24(C2×D4) = Q16⋊4D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.24(C2xD4)128,2009
Q8.25(C2×D4) = Q16⋊5D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.25(C2xD4)128,2010
Q8.26(C2×D4) = SD16⋊10D4φ: C2×D4/D4 → C2 ⊆ Out Q832Q8.26(C2xD4)128,2014
Q8.27(C2×D4) = SD16⋊11D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.27(C2xD4)128,2016
Q8.28(C2×D4) = Q16⋊12D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.28(C2xD4)128,2017
Q8.29(C2×D4) = D4×Q16φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.29(C2xD4)128,2018
Q8.30(C2×D4) = Q16⋊13D4φ: C2×D4/D4 → C2 ⊆ Out Q864Q8.30(C2xD4)128,2019
Q8.31(C2×D4) = D8⋊11D4φ: C2×D4/D4 → C2 ⊆ Out Q8168+Q8.31(C2xD4)128,2020
Q8.32(C2×D4) = D8.13D4φ: C2×D4/D4 → C2 ⊆ Out Q8328-Q8.32(C2xD4)128,2021
Q8.33(C2×D4) = D8○SD16φ: C2×D4/D4 → C2 ⊆ Out Q8324Q8.33(C2xD4)128,2022
Q8.34(C2×D4) = D8⋊6D4φ: C2×D4/D4 → C2 ⊆ Out Q8164Q8.34(C2xD4)128,2023
Q8.35(C2×D4) = D8○D8φ: C2×D4/D4 → C2 ⊆ Out Q8164+Q8.35(C2xD4)128,2024
Q8.36(C2×D4) = D8○Q16φ: C2×D4/D4 → C2 ⊆ Out Q8324-Q8.36(C2xD4)128,2025
Q8.37(C2×D4) = C2×C22⋊Q16φ: C2×D4/C23 → C2 ⊆ Out Q864Q8.37(C2xD4)128,1731
Q8.38(C2×D4) = C2×D4.7D4φ: C2×D4/C23 → C2 ⊆ Out Q864Q8.38(C2xD4)128,1733
Q8.39(C2×D4) = C24.103D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.39(C2xD4)128,1734
Q8.40(C2×D4) = C24.178D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.40(C2xD4)128,1736
Q8.41(C2×D4) = C24.104D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.41(C2xD4)128,1737
Q8.42(C2×D4) = C24.106D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.42(C2xD4)128,1739
Q8.43(C2×D4) = C4○D4⋊D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.43(C2xD4)128,1740
Q8.44(C2×D4) = D4.(C2×D4)φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.44(C2xD4)128,1741
Q8.45(C2×D4) = (C2×Q8)⋊16D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.45(C2xD4)128,1742
Q8.46(C2×D4) = Q8.(C2×D4)φ: C2×D4/C23 → C2 ⊆ Out Q864Q8.46(C2xD4)128,1743
Q8.47(C2×D4) = (C2×D4)⋊21D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.47(C2xD4)128,1744
Q8.48(C2×D4) = (C2×Q8)⋊17D4φ: C2×D4/C23 → C2 ⊆ Out Q864Q8.48(C2xD4)128,1745
Q8.49(C2×D4) = C2×D4.9D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.49(C2xD4)128,1747
Q8.50(C2×D4) = C2×D4.8D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.50(C2xD4)128,1748
Q8.51(C2×D4) = C2×D4.10D4φ: C2×D4/C23 → C2 ⊆ Out Q832Q8.51(C2xD4)128,1749
Q8.52(C2×D4) = C42.313C23φ: C2×D4/C23 → C2 ⊆ Out Q8164Q8.52(C2xD4)128,1750
Q8.53(C2×D4) = M4(2)⋊C23φ: C2×D4/C23 → C2 ⊆ Out Q8168+Q8.53(C2xD4)128,1751
Q8.54(C2×D4) = M4(2).C23φ: C2×D4/C23 → C2 ⊆ Out Q8328-Q8.54(C2xD4)128,1752
Q8.55(C2×D4) = C42.12C23φ: C2×D4/C23 → C2 ⊆ Out Q8168+Q8.55(C2xD4)128,1753
Q8.56(C2×D4) = C42.13C23φ: C2×D4/C23 → C2 ⊆ Out Q8328-Q8.56(C2xD4)128,1754
Q8.57(C2×D4) = C22.75C25φ: trivial image32Q8.57(C2xD4)128,2218
Q8.58(C2×D4) = C22.76C25φ: trivial image32Q8.58(C2xD4)128,2219
Q8.59(C2×D4) = C22.78C25φ: trivial image32Q8.59(C2xD4)128,2221
Q8.60(C2×D4) = C4⋊2- 1+4φ: trivial image64Q8.60(C2xD4)128,2229
Q8.61(C2×D4) = C22.88C25φ: trivial image64Q8.61(C2xD4)128,2231
Q8.62(C2×D4) = C22.89C25φ: trivial image32Q8.62(C2xD4)128,2232
Q8.63(C2×D4) = C2×D4○D8φ: trivial image32Q8.63(C2xD4)128,2313
Q8.64(C2×D4) = C2×D4○SD16φ: trivial image32Q8.64(C2xD4)128,2314
Q8.65(C2×D4) = C2×Q8○D8φ: trivial image64Q8.65(C2xD4)128,2315
Q8.66(C2×D4) = C8.C24φ: trivial image324Q8.66(C2xD4)128,2316
Q8.67(C2×D4) = D8⋊C23φ: trivial image168+Q8.67(C2xD4)128,2317
Q8.68(C2×D4) = C4.C25φ: trivial image328-Q8.68(C2xD4)128,2318

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁