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Extensions 1→N→G→Q→1 with N=C4 and Q=C22×Q8

Direct product G=N×Q with N=C4 and Q=C22×Q8
dρLabelID
Q8×C22×C4128Q8xC2^2xC4128,2155

Semidirect products G=N:Q with N=C4 and Q=C22×Q8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C22×Q8) = C22×C4⋊Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4:1(C2^2xQ8)128,2173
C4⋊2(C22×Q8) = C2×D4×Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4:2(C2^2xQ8)128,2198

Non-split extensions G=N.Q with N=C4 and Q=C22×Q8
extensionφ:Q→Aut NdρLabelID
C4.1(C22×Q8) = C22×C4.Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4.1(C2^2xQ8)128,1639
C4.2(C22×Q8) = C22×C2.D8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4.2(C2^2xQ8)128,1640
C4.3(C22×Q8) = C2×C23.25D4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.3(C2^2xQ8)128,1641
C4.4(C22×Q8) = C2×M4(2)⋊C4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.4(C2^2xQ8)128,1642
C4.5(C22×Q8) = C24.100D4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C432C4.5(C2^2xQ8)128,1643
C4.6(C22×Q8) = C4○D4.7Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.6(C2^2xQ8)128,1644
C4.7(C22×Q8) = C4○D4.8Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.7(C2^2xQ8)128,1645
C4.8(C22×Q8) = C2×C8⋊3Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4.8(C2^2xQ8)128,1889
C4.9(C22×Q8) = C2×C8.5Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4.9(C2^2xQ8)128,1890
C4.10(C22×Q8) = C2×C8⋊2Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4.10(C2^2xQ8)128,1891
C4.11(C22×Q8) = C42.364D4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.11(C2^2xQ8)128,1892
C4.12(C22×Q8) = C2×C8⋊Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4.12(C2^2xQ8)128,1893
C4.13(C22×Q8) = C42.252D4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.13(C2^2xQ8)128,1894
C4.14(C22×Q8) = M4(2)⋊3Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.14(C2^2xQ8)128,1895
C4.15(C22×Q8) = M4(2)⋊4Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.15(C2^2xQ8)128,1896
C4.16(C22×Q8) = M4(2)⋊5Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.16(C2^2xQ8)128,1897
C4.17(C22×Q8) = M4(2)⋊6Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.17(C2^2xQ8)128,1898
C4.18(C22×Q8) = C22×C42.C2φ: C22×Q8/C22×C4 → C2 ⊆ Aut C4128C4.18(C2^2xQ8)128,2169
C4.19(C22×Q8) = C2×C23.41C23φ: C22×Q8/C22×C4 → C2 ⊆ Aut C464C4.19(C2^2xQ8)128,2189
C4.20(C22×Q8) = C22.47C25φ: C22×Q8/C22×C4 → C2 ⊆ Aut C432C4.20(C2^2xQ8)128,2190
C4.21(C22×Q8) = C2×D4⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.21(C2^2xQ8)128,1802
C4.22(C22×Q8) = C2×D4⋊2Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.22(C2^2xQ8)128,1803
C4.23(C22×Q8) = C2×D4.Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.23(C2^2xQ8)128,1804
C4.24(C22×Q8) = C2×Q8⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.24(C2^2xQ8)128,1805
C4.25(C22×Q8) = C2×C4.Q16φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.25(C2^2xQ8)128,1806
C4.26(C22×Q8) = C2×Q8.Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.26(C2^2xQ8)128,1807
C4.27(C22×Q8) = C42.447D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.27(C2^2xQ8)128,1808
C4.28(C22×Q8) = C42.219D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C432C4.28(C2^2xQ8)128,1809
C4.29(C22×Q8) = C42.220D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.29(C2^2xQ8)128,1810
C4.30(C22×Q8) = C42.448D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.30(C2^2xQ8)128,1811
C4.31(C22×Q8) = C42.449D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.31(C2^2xQ8)128,1812
C4.32(C22×Q8) = C42.20C23φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C432C4.32(C2^2xQ8)128,1813
C4.33(C22×Q8) = C42.21C23φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.33(C2^2xQ8)128,1814
C4.34(C22×Q8) = C42.22C23φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.34(C2^2xQ8)128,1815
C4.35(C22×Q8) = C42.23C23φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.35(C2^2xQ8)128,1816
C4.36(C22×Q8) = Q8×D8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.36(C2^2xQ8)128,2110
C4.37(C22×Q8) = Q8×SD16φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.37(C2^2xQ8)128,2111
C4.38(C22×Q8) = D8⋊6Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.38(C2^2xQ8)128,2112
C4.39(C22×Q8) = SD16⋊4Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.39(C2^2xQ8)128,2113
C4.40(C22×Q8) = Q8×Q16φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.40(C2^2xQ8)128,2114
C4.41(C22×Q8) = Q16⋊6Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.41(C2^2xQ8)128,2115
C4.42(C22×Q8) = D8⋊4Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.42(C2^2xQ8)128,2116
C4.43(C22×Q8) = SD16⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.43(C2^2xQ8)128,2117
C4.44(C22×Q8) = SD16⋊2Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.44(C2^2xQ8)128,2118
C4.45(C22×Q8) = Q16⋊4Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.45(C2^2xQ8)128,2119
C4.46(C22×Q8) = SD16⋊3Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.46(C2^2xQ8)128,2120
C4.47(C22×Q8) = D8⋊5Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.47(C2^2xQ8)128,2121
C4.48(C22×Q8) = Q16⋊5Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.48(C2^2xQ8)128,2122
C4.49(C22×Q8) = C2×D4⋊3Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.49(C2^2xQ8)128,2204
C4.50(C22×Q8) = C2×Q8⋊3Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.50(C2^2xQ8)128,2208
C4.51(C22×Q8) = C2×Q82φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C4128C4.51(C2^2xQ8)128,2209
C4.52(C22×Q8) = Q8×C4○D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.52(C2^2xQ8)128,2210
C4.53(C22×Q8) = C22.90C25φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C432C4.53(C2^2xQ8)128,2233
C4.54(C22×Q8) = C22.91C25φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.54(C2^2xQ8)128,2234
C4.55(C22×Q8) = C22.92C25φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.55(C2^2xQ8)128,2235
C4.56(C22×Q8) = C22.93C25φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C464C4.56(C2^2xQ8)128,2236
C4.57(C22×Q8) = C22×C4⋊C8central extension (φ=1)128C4.57(C2^2xQ8)128,1634
C4.58(C22×Q8) = C2×C4⋊M4(2)central extension (φ=1)64C4.58(C2^2xQ8)128,1635
C4.59(C22×Q8) = C2×C42.6C22central extension (φ=1)64C4.59(C2^2xQ8)128,1636
C4.60(C22×Q8) = C42.257C23central extension (φ=1)32C4.60(C2^2xQ8)128,1637
C4.61(C22×Q8) = C42.674C23central extension (φ=1)64C4.61(C2^2xQ8)128,1638
C4.62(C22×Q8) = Q8×C2×C8central extension (φ=1)128C4.62(C2^2xQ8)128,1690
C4.63(C22×Q8) = C2×C8⋊4Q8central extension (φ=1)128C4.63(C2^2xQ8)128,1691
C4.64(C22×Q8) = C42.286C23central extension (φ=1)64C4.64(C2^2xQ8)128,1692
C4.65(C22×Q8) = C42.287C23central extension (φ=1)64C4.65(C2^2xQ8)128,1693
C4.66(C22×Q8) = M4(2)⋊9Q8central extension (φ=1)64C4.66(C2^2xQ8)128,1694
C4.67(C22×Q8) = Q8×M4(2)central extension (φ=1)64C4.67(C2^2xQ8)128,1695
C4.68(C22×Q8) = C2×C23.37C23central extension (φ=1)64C4.68(C2^2xQ8)128,2175

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