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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×C12

Direct product G=N×Q with N=Dic5 and Q=C2×C12
dρLabelID
Dic5×C2×C12480Dic5xC2xC12480,715

Semidirect products G=N:Q with N=Dic5 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
Dic5⋊(C2×C12) = C3×D4×F5φ: C2×C12/C6 → C22 ⊆ Out Dic5608Dic5:(C2xC12)480,1054
Dic5⋊2(C2×C12) = C3×Dic5⋊4D4φ: C2×C12/C12 → C2 ⊆ Out Dic5240Dic5:2(C2xC12)480,674
Dic5⋊3(C2×C12) = C12×C5⋊D4φ: C2×C12/C12 → C2 ⊆ Out Dic5240Dic5:3(C2xC12)480,721
Dic5⋊4(C2×C12) = C3×D5×C4⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5240Dic5:4(C2xC12)480,684
Dic5⋊5(C2×C12) = C6×C10.D4φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5480Dic5:5(C2xC12)480,716
Dic5⋊6(C2×C12) = F5×C2×C12φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5120Dic5:6(C2xC12)480,1050
Dic5⋊7(C2×C12) = C6×C4⋊F5φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5120Dic5:7(C2xC12)480,1051
Dic5⋊8(C2×C12) = D5×C4×C12φ: trivial image240Dic5:8(C2xC12)480,664

Non-split extensions G=N.Q with N=Dic5 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×C12) = C3×D4.F5φ: C2×C12/C6 → C22 ⊆ Out Dic52408Dic5.1(C2xC12)480,1053
Dic5.2(C2×C12) = C3×Q8×F5φ: C2×C12/C6 → C22 ⊆ Out Dic51208Dic5.2(C2xC12)480,1056
Dic5.3(C2×C12) = C12×Dic10φ: C2×C12/C12 → C2 ⊆ Out Dic5480Dic5.3(C2xC12)480,661
Dic5.4(C2×C12) = C3×Dic5⋊3Q8φ: C2×C12/C12 → C2 ⊆ Out Dic5480Dic5.4(C2xC12)480,680
Dic5.5(C2×C12) = C3×D20.3C4φ: C2×C12/C12 → C2 ⊆ Out Dic52402Dic5.5(C2xC12)480,694
Dic5.6(C2×C12) = C3×D20.2C4φ: C2×C12/C12 → C2 ⊆ Out Dic52404Dic5.6(C2xC12)480,700
Dic5.7(C2×C12) = F5×C24φ: C2×C12/C12 → C2 ⊆ Out Dic51204Dic5.7(C2xC12)480,271
Dic5.8(C2×C12) = C3×C8⋊F5φ: C2×C12/C12 → C2 ⊆ Out Dic51204Dic5.8(C2xC12)480,272
Dic5.9(C2×C12) = C12×C5⋊C8φ: C2×C12/C12 → C2 ⊆ Out Dic5480Dic5.9(C2xC12)480,280
Dic5.10(C2×C12) = C3×C10.C42φ: C2×C12/C12 → C2 ⊆ Out Dic5480Dic5.10(C2xC12)480,282
Dic5.11(C2×C12) = C3×C42⋊D5φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5240Dic5.11(C2xC12)480,665
Dic5.12(C2×C12) = C6×C8⋊D5φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5240Dic5.12(C2xC12)480,693
Dic5.13(C2×C12) = C3×D5×M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Out Dic51204Dic5.13(C2xC12)480,699
Dic5.14(C2×C12) = C6×D5⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5240Dic5.14(C2xC12)480,1047
Dic5.15(C2×C12) = C6×C4.F5φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5240Dic5.15(C2xC12)480,1048
Dic5.16(C2×C12) = C3×D5⋊M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Out Dic51204Dic5.16(C2xC12)480,1049
Dic5.17(C2×C12) = C3×D10.C23φ: C2×C12/C2×C6 → C2 ⊆ Out Dic51204Dic5.17(C2xC12)480,1052
Dic5.18(C2×C12) = C2×C6×C5⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5480Dic5.18(C2xC12)480,1057
Dic5.19(C2×C12) = C6×C22.F5φ: C2×C12/C2×C6 → C2 ⊆ Out Dic5240Dic5.19(C2xC12)480,1058
Dic5.20(C2×C12) = C3×C23.11D10φ: trivial image240Dic5.20(C2xC12)480,670
Dic5.21(C2×C12) = C3×C4⋊C4⋊7D5φ: trivial image240Dic5.21(C2xC12)480,685
Dic5.22(C2×C12) = D5×C2×C24φ: trivial image240Dic5.22(C2xC12)480,692

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