Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C52C8

Direct product G=N×Q with N=C6 and Q=C2×C52C8
dρLabelID
C2×C6×C52C8480C2xC6xC5:2C8480,713

Semidirect products G=N:Q with N=C6 and Q=C2×C52C8
extensionφ:Q→Aut NdρLabelID
C61(C2×C52C8) = C2×S3×C52C8φ: C2×C52C8/C52C8C2 ⊆ Aut C6240C6:1(C2xC5:2C8)480,361
C62(C2×C52C8) = C22×C153C8φ: C2×C52C8/C2×C20C2 ⊆ Aut C6480C6:2(C2xC5:2C8)480,885

Non-split extensions G=N.Q with N=C6 and Q=C2×C52C8
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C52C8) = S3×C52C16φ: C2×C52C8/C52C8C2 ⊆ Aut C62404C6.1(C2xC5:2C8)480,8
C6.2(C2×C52C8) = C40.52D6φ: C2×C52C8/C52C8C2 ⊆ Aut C62404C6.2(C2xC5:2C8)480,11
C6.3(C2×C52C8) = Dic3×C52C8φ: C2×C52C8/C52C8C2 ⊆ Aut C6480C6.3(C2xC5:2C8)480,26
C6.4(C2×C52C8) = C60.94D4φ: C2×C52C8/C52C8C2 ⊆ Aut C6240C6.4(C2xC5:2C8)480,32
C6.5(C2×C52C8) = C60.15Q8φ: C2×C52C8/C52C8C2 ⊆ Aut C6480C6.5(C2xC5:2C8)480,60
C6.6(C2×C52C8) = C4×C153C8φ: C2×C52C8/C2×C20C2 ⊆ Aut C6480C6.6(C2xC5:2C8)480,162
C6.7(C2×C52C8) = C605C8φ: C2×C52C8/C2×C20C2 ⊆ Aut C6480C6.7(C2xC5:2C8)480,164
C6.8(C2×C52C8) = C2×C153C16φ: C2×C52C8/C2×C20C2 ⊆ Aut C6480C6.8(C2xC5:2C8)480,171
C6.9(C2×C52C8) = C60.7C8φ: C2×C52C8/C2×C20C2 ⊆ Aut C62402C6.9(C2xC5:2C8)480,172
C6.10(C2×C52C8) = C60.212D4φ: C2×C52C8/C2×C20C2 ⊆ Aut C6240C6.10(C2xC5:2C8)480,190
C6.11(C2×C52C8) = C12×C52C8central extension (φ=1)480C6.11(C2xC5:2C8)480,80
C6.12(C2×C52C8) = C3×C203C8central extension (φ=1)480C6.12(C2xC5:2C8)480,82
C6.13(C2×C52C8) = C6×C52C16central extension (φ=1)480C6.13(C2xC5:2C8)480,89
C6.14(C2×C52C8) = C3×C20.4C8central extension (φ=1)2402C6.14(C2xC5:2C8)480,90
C6.15(C2×C52C8) = C3×C20.55D4central extension (φ=1)240C6.15(C2xC5:2C8)480,108

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