Extensions 1→N→G→Q→1 with N=C3 and Q=D5×C2×C8

Direct product G=N×Q with N=C3 and Q=D5×C2×C8
dρLabelID
D5×C2×C24240D5xC2xC24480,692

Semidirect products G=N:Q with N=C3 and Q=D5×C2×C8
extensionφ:Q→Aut NdρLabelID
C31(D5×C2×C8) = S3×C8×D5φ: D5×C2×C8/C8×D5C2 ⊆ Aut C31204C3:1(D5xC2xC8)480,319
C32(D5×C2×C8) = C2×D152C8φ: D5×C2×C8/C2×C52C8C2 ⊆ Aut C3240C3:2(D5xC2xC8)480,365
C33(D5×C2×C8) = C2×C8×D15φ: D5×C2×C8/C2×C40C2 ⊆ Aut C3240C3:3(D5xC2xC8)480,864
C34(D5×C2×C8) = C2×D5×C3⋊C8φ: D5×C2×C8/C2×C4×D5C2 ⊆ Aut C3240C3:4(D5xC2xC8)480,357


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