# Extensions 1→N→G→Q→1 with N=C4 and Q=C2×Q8

Direct product G=N×Q with N=C4 and Q=C2×Q8
dρLabelID
C2×C4×Q864C2xC4xQ864,197

Semidirect products G=N:Q with N=C4 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C41(C2×Q8) = C2×C4⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4:1(C2xQ8)64,212
C42(C2×Q8) = D4×Q8φ: C2×Q8/Q8C2 ⊆ Aut C432C4:2(C2xQ8)64,230

Non-split extensions G=N.Q with N=C4 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C4.1(C2×Q8) = C2×C4.Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4.1(C2xQ8)64,106
C4.2(C2×Q8) = C2×C2.D8φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4.2(C2xQ8)64,107
C4.3(C2×Q8) = C23.25D4φ: C2×Q8/C2×C4C2 ⊆ Aut C432C4.3(C2xQ8)64,108
C4.4(C2×Q8) = M4(2)⋊C4φ: C2×Q8/C2×C4C2 ⊆ Aut C432C4.4(C2xQ8)64,109
C4.5(C2×Q8) = C83Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4.5(C2xQ8)64,179
C4.6(C2×Q8) = C8.5Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4.6(C2xQ8)64,180
C4.7(C2×Q8) = C82Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4.7(C2xQ8)64,181
C4.8(C2×Q8) = C8⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4.8(C2xQ8)64,182
C4.9(C2×Q8) = C2×C42.C2φ: C2×Q8/C2×C4C2 ⊆ Aut C464C4.9(C2xQ8)64,208
C4.10(C2×Q8) = C23.41C23φ: C2×Q8/C2×C4C2 ⊆ Aut C432C4.10(C2xQ8)64,225
C4.11(C2×Q8) = D4⋊Q8φ: C2×Q8/Q8C2 ⊆ Aut C432C4.11(C2xQ8)64,155
C4.12(C2×Q8) = Q8⋊Q8φ: C2×Q8/Q8C2 ⊆ Aut C464C4.12(C2xQ8)64,156
C4.13(C2×Q8) = D42Q8φ: C2×Q8/Q8C2 ⊆ Aut C432C4.13(C2xQ8)64,157
C4.14(C2×Q8) = C4.Q16φ: C2×Q8/Q8C2 ⊆ Aut C464C4.14(C2xQ8)64,158
C4.15(C2×Q8) = D4.Q8φ: C2×Q8/Q8C2 ⊆ Aut C432C4.15(C2xQ8)64,159
C4.16(C2×Q8) = Q8.Q8φ: C2×Q8/Q8C2 ⊆ Aut C464C4.16(C2xQ8)64,160
C4.17(C2×Q8) = D43Q8φ: C2×Q8/Q8C2 ⊆ Aut C432C4.17(C2xQ8)64,235
C4.18(C2×Q8) = Q83Q8φ: C2×Q8/Q8C2 ⊆ Aut C464C4.18(C2xQ8)64,238
C4.19(C2×Q8) = Q82φ: C2×Q8/Q8C2 ⊆ Aut C464C4.19(C2xQ8)64,239
C4.20(C2×Q8) = C2×C4⋊C8central extension (φ=1)64C4.20(C2xQ8)64,103
C4.21(C2×Q8) = C4⋊M4(2)central extension (φ=1)32C4.21(C2xQ8)64,104
C4.22(C2×Q8) = C42.6C22central extension (φ=1)32C4.22(C2xQ8)64,105
C4.23(C2×Q8) = C8×Q8central extension (φ=1)64C4.23(C2xQ8)64,126
C4.24(C2×Q8) = C84Q8central extension (φ=1)64C4.24(C2xQ8)64,127
C4.25(C2×Q8) = C23.37C23central extension (φ=1)32C4.25(C2xQ8)64,214

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