Extensions 1→N→G→Q→1 with N=C15 and Q=C22≀C2

Direct product G=N×Q with N=C15 and Q=C22≀C2
dρLabelID
C15×C22≀C2120C15xC2^2wrC2480,925

Semidirect products G=N:Q with N=C15 and Q=C22≀C2
extensionφ:Q→Aut NdρLabelID
C15⋊1C22≀C2 = D6⋊4D20φ: C22≀C2/C2×C4 → C22 ⊆ Aut C15120C15:1C2^2wrC2480,550
C15⋊2C22≀C2 = D30⋊4D4φ: C22≀C2/C2×C4 → C22 ⊆ Aut C15120C15:2C2^2wrC2480,551
C15⋊3C22≀C2 = D30⋊5D4φ: C22≀C2/C2×C4 → C22 ⊆ Aut C15120C15:3C2^2wrC2480,552
C15⋊4C22≀C2 = (C2×C30)⋊D4φ: C22≀C2/C23 → C22 ⊆ Aut C15120C15:4C2^2wrC2480,639
C15⋊5C22≀C2 = (C2×C6)⋊8D20φ: C22≀C2/C23 → C22 ⊆ Aut C15120C15:5C2^2wrC2480,640
C15⋊6C22≀C2 = C15⋊C22≀C2φ: C22≀C2/C23 → C22 ⊆ Aut C15120C15:6C2^2wrC2480,644
C15⋊7C22≀C2 = (C2×C10)⋊11D12φ: C22≀C2/C23 → C22 ⊆ Aut C15120C15:7C2^2wrC2480,646
C15⋊8C22≀C2 = D30⋊18D4φ: C22≀C2/C23 → C22 ⊆ Aut C15120C15:8C2^2wrC2480,648
C15⋊9C22≀C2 = D30⋊19D4φ: C22≀C2/C23 → C22 ⊆ Aut C15120C15:9C2^2wrC2480,649
C15⋊10C22≀C2 = D30⋊8D4φ: C22≀C2/C23 → C22 ⊆ Aut C15120C15:10C2^2wrC2480,653
C15⋊11C22≀C2 = D30⋊16D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C15120C15:11C2^2wrC2480,847
C15⋊12C22≀C2 = C3×C22⋊D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C15120C15:12C2^2wrC2480,675
C15⋊13C22≀C2 = C5×D6⋊D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C15120C15:13C2^2wrC2480,761
C15⋊14C22≀C2 = D30⋊17D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C15120C15:14C2^2wrC2480,902
C15⋊15C22≀C2 = C3×C23⋊D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C15120C15:15C2^2wrC2480,730
C15⋊16C22≀C2 = C5×C23⋊2D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C15120C15:16C2^2wrC2480,816
C15⋊17C22≀C2 = C24⋊5D15φ: C22≀C2/C24 → C2 ⊆ Aut C15120C15:17C2^2wrC2480,918
C15⋊18C22≀C2 = C3×C24⋊2D5φ: C22≀C2/C24 → C2 ⊆ Aut C15120C15:18C2^2wrC2480,746
C15⋊19C22≀C2 = C5×C24⋊4S3φ: C22≀C2/C24 → C2 ⊆ Aut C15120C15:19C2^2wrC2480,832


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