# Extensions 1→N→G→Q→1 with N=C10 and Q=C24

Direct product G=N×Q with N=C10 and Q=C24
dρLabelID
C24×C10160C2^4xC10160,238

Semidirect products G=N:Q with N=C10 and Q=C24
extensionφ:Q→Aut NdρLabelID
C10⋊C24 = D5×C24φ: C24/C23C2 ⊆ Aut C1080C10:C2^4160,237

Non-split extensions G=N.Q with N=C10 and Q=C24
extensionφ:Q→Aut NdρLabelID
C10.1C24 = C22×Dic10φ: C24/C23C2 ⊆ Aut C10160C10.1C2^4160,213
C10.2C24 = D5×C22×C4φ: C24/C23C2 ⊆ Aut C1080C10.2C2^4160,214
C10.3C24 = C22×D20φ: C24/C23C2 ⊆ Aut C1080C10.3C2^4160,215
C10.4C24 = C2×C4○D20φ: C24/C23C2 ⊆ Aut C1080C10.4C2^4160,216
C10.5C24 = C2×D4×D5φ: C24/C23C2 ⊆ Aut C1040C10.5C2^4160,217
C10.6C24 = C2×D42D5φ: C24/C23C2 ⊆ Aut C1080C10.6C2^4160,218
C10.7C24 = D46D10φ: C24/C23C2 ⊆ Aut C10404C10.7C2^4160,219
C10.8C24 = C2×Q8×D5φ: C24/C23C2 ⊆ Aut C1080C10.8C2^4160,220
C10.9C24 = C2×Q82D5φ: C24/C23C2 ⊆ Aut C1080C10.9C2^4160,221
C10.10C24 = Q8.10D10φ: C24/C23C2 ⊆ Aut C10804C10.10C2^4160,222
C10.11C24 = D5×C4○D4φ: C24/C23C2 ⊆ Aut C10404C10.11C2^4160,223
C10.12C24 = D48D10φ: C24/C23C2 ⊆ Aut C10404+C10.12C2^4160,224
C10.13C24 = D4.10D10φ: C24/C23C2 ⊆ Aut C10804-C10.13C2^4160,225
C10.14C24 = C23×Dic5φ: C24/C23C2 ⊆ Aut C10160C10.14C2^4160,226
C10.15C24 = C22×C5⋊D4φ: C24/C23C2 ⊆ Aut C1080C10.15C2^4160,227
C10.16C24 = D4×C2×C10central extension (φ=1)80C10.16C2^4160,229
C10.17C24 = Q8×C2×C10central extension (φ=1)160C10.17C2^4160,230
C10.18C24 = C10×C4○D4central extension (φ=1)80C10.18C2^4160,231
C10.19C24 = C5×2+ 1+4central extension (φ=1)404C10.19C2^4160,232
C10.20C24 = C5×2- 1+4central extension (φ=1)804C10.20C2^4160,233

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