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Extensions 1→N→G→Q→1 with N=C22 and Q=C5⋊D4

Direct product G=N×Q with N=C22 and Q=C5⋊D4
dρLabelID
C22×C5⋊D480C2^2xC5:D4160,227

Semidirect products G=N:Q with N=C22 and Q=C5⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C5⋊D4) = Dic5⋊D4φ: C5⋊D4/Dic5 → C2 ⊆ Aut C2280C2^2:1(C5:D4)160,160
C22⋊2(C5⋊D4) = C23⋊D10φ: C5⋊D4/D10 → C2 ⊆ Aut C2240C2^2:2(C5:D4)160,158
C22⋊3(C5⋊D4) = C24⋊2D5φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C2240C2^2:3(C5:D4)160,174

Non-split extensions G=N.Q with N=C22 and Q=C5⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C5⋊D4) = D4.8D10φ: C5⋊D4/Dic5 → C2 ⊆ Aut C22804C2^2.1(C5:D4)160,171
C22.2(C5⋊D4) = C23⋊Dic5φ: C5⋊D4/D10 → C2 ⊆ Aut C22404C2^2.2(C5:D4)160,41
C22.3(C5⋊D4) = D4⋊2Dic5φ: C5⋊D4/D10 → C2 ⊆ Aut C22404C2^2.3(C5:D4)160,44
C22.4(C5⋊D4) = C23.18D10φ: C5⋊D4/D10 → C2 ⊆ Aut C2280C2^2.4(C5:D4)160,156
C22.5(C5⋊D4) = D4⋊D10φ: C5⋊D4/D10 → C2 ⊆ Aut C22404+C2^2.5(C5:D4)160,170
C22.6(C5⋊D4) = D4.9D10φ: C5⋊D4/D10 → C2 ⊆ Aut C22804-C2^2.6(C5:D4)160,172
C22.7(C5⋊D4) = D20⋊4C4φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C22402C2^2.7(C5:D4)160,12
C22.8(C5⋊D4) = C23.1D10φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C22404C2^2.8(C5:D4)160,13
C22.9(C5⋊D4) = C23.23D10φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C2280C2^2.9(C5:D4)160,150
C22.10(C5⋊D4) = D4.D10φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C22404C2^2.10(C5:D4)160,153
C22.11(C5⋊D4) = C20.C23φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C22804C2^2.11(C5:D4)160,163
C22.12(C5⋊D4) = C10.D8central extension (φ=1)160C2^2.12(C5:D4)160,14
C22.13(C5⋊D4) = C20.Q8central extension (φ=1)160C2^2.13(C5:D4)160,15
C22.14(C5⋊D4) = D20⋊6C4central extension (φ=1)80C2^2.14(C5:D4)160,16
C22.15(C5⋊D4) = C10.Q16central extension (φ=1)160C2^2.15(C5:D4)160,17
C22.16(C5⋊D4) = C10.10C42central extension (φ=1)160C2^2.16(C5:D4)160,38
C22.17(C5⋊D4) = D4⋊Dic5central extension (φ=1)80C2^2.17(C5:D4)160,39
C22.18(C5⋊D4) = Q8⋊Dic5central extension (φ=1)160C2^2.18(C5:D4)160,42
C22.19(C5⋊D4) = C2×C10.D4central extension (φ=1)160C2^2.19(C5:D4)160,144
C22.20(C5⋊D4) = C2×D10⋊C4central extension (φ=1)80C2^2.20(C5:D4)160,148
C22.21(C5⋊D4) = C2×D4⋊D5central extension (φ=1)80C2^2.21(C5:D4)160,152
C22.22(C5⋊D4) = C2×D4.D5central extension (φ=1)80C2^2.22(C5:D4)160,154
C22.23(C5⋊D4) = C2×Q8⋊D5central extension (φ=1)80C2^2.23(C5:D4)160,162
C22.24(C5⋊D4) = C2×C5⋊Q16central extension (φ=1)160C2^2.24(C5:D4)160,164
C22.25(C5⋊D4) = C2×C23.D5central extension (φ=1)80C2^2.25(C5:D4)160,173

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