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Extensions 1→N→G→Q→1 with N=C6 and Q=C22×Dic5

Direct product G=N×Q with N=C6 and Q=C22×Dic5
dρLabelID
Dic5×C22×C6480Dic5xC2^2xC6480,1148

Semidirect products G=N:Q with N=C6 and Q=C22×Dic5
extensionφ:Q→Aut NdρLabelID
C6⋊1(C22×Dic5) = C22×S3×Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6:1(C2^2xDic5)480,1115
C6⋊2(C22×Dic5) = C23×Dic15φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6480C6:2(C2^2xDic5)480,1178

Non-split extensions G=N.Q with N=C6 and Q=C22×Dic5
extensionφ:Q→Aut NdρLabelID
C6.1(C22×Dic5) = C2×S3×C5⋊2C8φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.1(C2^2xDic5)480,361
C6.2(C22×Dic5) = D12.2Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C62404C6.2(C2^2xDic5)480,362
C6.3(C22×Dic5) = S3×C4.Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C61204C6.3(C2^2xDic5)480,363
C6.4(C22×Dic5) = D12.Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C62404C6.4(C2^2xDic5)480,364
C6.5(C22×Dic5) = C2×D6.Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.5(C2^2xDic5)480,370
C6.6(C22×Dic5) = Dic5×Dic6φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6480C6.6(C2^2xDic5)480,408
C6.7(C22×Dic5) = (S3×C20)⋊5C4φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.7(C2^2xDic5)480,414
C6.8(C22×Dic5) = Dic15⋊7Q8φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6480C6.8(C2^2xDic5)480,420
C6.9(C22×Dic5) = (S3×C20)⋊7C4φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.9(C2^2xDic5)480,447
C6.10(C22×Dic5) = C4×S3×Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.10(C2^2xDic5)480,473
C6.11(C22×Dic5) = Dic5×D12φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.11(C2^2xDic5)480,491
C6.12(C22×Dic5) = S3×C4⋊Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.12(C2^2xDic5)480,502
C6.13(C22×Dic5) = Dic15⋊8D4φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.13(C2^2xDic5)480,511
C6.14(C22×Dic5) = C2×Dic3×Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6480C6.14(C2^2xDic5)480,603
C6.15(C22×Dic5) = C23.26(S3×D5)φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.15(C2^2xDic5)480,605
C6.16(C22×Dic5) = C2×D6⋊Dic5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.16(C2^2xDic5)480,614
C6.17(C22×Dic5) = C2×C6.Dic10φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6480C6.17(C2^2xDic5)480,621
C6.18(C22×Dic5) = Dic5×C3⋊D4φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.18(C2^2xDic5)480,627
C6.19(C22×Dic5) = S3×C23.D5φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6120C6.19(C2^2xDic5)480,630
C6.20(C22×Dic5) = Dic15⋊17D4φ: C22×Dic5/C2×Dic5 → C2 ⊆ Aut C6240C6.20(C2^2xDic5)480,636
C6.21(C22×Dic5) = C22×C15⋊3C8φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6480C6.21(C2^2xDic5)480,885
C6.22(C22×Dic5) = C2×C60.7C4φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6240C6.22(C2^2xDic5)480,886
C6.23(C22×Dic5) = C2×C4×Dic15φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6480C6.23(C2^2xDic5)480,887
C6.24(C22×Dic5) = C2×C60⋊5C4φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6480C6.24(C2^2xDic5)480,890
C6.25(C22×Dic5) = C23.26D30φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6240C6.25(C2^2xDic5)480,891
C6.26(C22×Dic5) = D4×Dic15φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6240C6.26(C2^2xDic5)480,899
C6.27(C22×Dic5) = Q8×Dic15φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6480C6.27(C2^2xDic5)480,910
C6.28(C22×Dic5) = D4.Dic15φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C62404C6.28(C2^2xDic5)480,913
C6.29(C22×Dic5) = C2×C30.38D4φ: C22×Dic5/C22×C10 → C2 ⊆ Aut C6240C6.29(C2^2xDic5)480,917
C6.30(C22×Dic5) = C2×C6×C5⋊2C8central extension (φ=1)480C6.30(C2^2xDic5)480,713
C6.31(C22×Dic5) = C6×C4.Dic5central extension (φ=1)240C6.31(C2^2xDic5)480,714
C6.32(C22×Dic5) = Dic5×C2×C12central extension (φ=1)480C6.32(C2^2xDic5)480,715
C6.33(C22×Dic5) = C6×C4⋊Dic5central extension (φ=1)480C6.33(C2^2xDic5)480,718
C6.34(C22×Dic5) = C3×C23.21D10central extension (φ=1)240C6.34(C2^2xDic5)480,719
C6.35(C22×Dic5) = C3×D4×Dic5central extension (φ=1)240C6.35(C2^2xDic5)480,727
C6.36(C22×Dic5) = C3×Q8×Dic5central extension (φ=1)480C6.36(C2^2xDic5)480,738
C6.37(C22×Dic5) = C3×D4.Dic5central extension (φ=1)2404C6.37(C2^2xDic5)480,741
C6.38(C22×Dic5) = C6×C23.D5central extension (φ=1)240C6.38(C2^2xDic5)480,745

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