# Extensions 1→N→G→Q→1 with N=C2 and Q=C23×D5

Direct product G=N×Q with N=C2 and Q=C23×D5
dρLabelID
D5×C2480D5xC2^4160,237

Non-split extensions G=N.Q with N=C2 and Q=C23×D5
extensionφ:Q→Aut NdρLabelID
C2.1(C23×D5) = D5×C22×C4central extension (φ=1)80C2.1(C2^3xD5)160,214
C2.2(C23×D5) = C23×Dic5central extension (φ=1)160C2.2(C2^3xD5)160,226
C2.3(C23×D5) = C22×Dic10central stem extension (φ=1)160C2.3(C2^3xD5)160,213
C2.4(C23×D5) = C22×D20central stem extension (φ=1)80C2.4(C2^3xD5)160,215
C2.5(C23×D5) = C2×C4○D20central stem extension (φ=1)80C2.5(C2^3xD5)160,216
C2.6(C23×D5) = C2×D4×D5central stem extension (φ=1)40C2.6(C2^3xD5)160,217
C2.7(C23×D5) = C2×D42D5central stem extension (φ=1)80C2.7(C2^3xD5)160,218
C2.8(C23×D5) = D46D10central stem extension (φ=1)404C2.8(C2^3xD5)160,219
C2.9(C23×D5) = C2×Q8×D5central stem extension (φ=1)80C2.9(C2^3xD5)160,220
C2.10(C23×D5) = C2×Q82D5central stem extension (φ=1)80C2.10(C2^3xD5)160,221
C2.11(C23×D5) = Q8.10D10central stem extension (φ=1)804C2.11(C2^3xD5)160,222
C2.12(C23×D5) = D5×C4○D4central stem extension (φ=1)404C2.12(C2^3xD5)160,223
C2.13(C23×D5) = D48D10central stem extension (φ=1)404+C2.13(C2^3xD5)160,224
C2.14(C23×D5) = D4.10D10central stem extension (φ=1)804-C2.14(C2^3xD5)160,225
C2.15(C23×D5) = C22×C5⋊D4central stem extension (φ=1)80C2.15(C2^3xD5)160,227

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