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Extensions 1→N→G→Q→1 with N=C15 and Q=C4≀C2

Direct product G=N×Q with N=C15 and Q=C4≀C2
dρLabelID
C15×C4≀C21202C15xC4wrC2480,207

Semidirect products G=N:Q with N=C15 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C15⋊1C4≀C2 = D12⋊4F5φ: C4≀C2/C4 → C2×C4 ⊆ Aut C151208-C15:1C4wrC2480,231
C15⋊2C4≀C2 = D12⋊2F5φ: C4≀C2/C4 → C2×C4 ⊆ Aut C151208-C15:2C4wrC2480,232
C15⋊3C4≀C2 = D60⋊2C4φ: C4≀C2/C4 → C2×C4 ⊆ Aut C151208+C15:3C4wrC2480,233
C15⋊4C4≀C2 = D60⋊5C4φ: C4≀C2/C4 → C2×C4 ⊆ Aut C151208+C15:4C4wrC2480,234
C15⋊5C4≀C2 = C60.96D4φ: C4≀C2/C2×C4 → C22 ⊆ Aut C151204C15:5C4wrC2480,52
C15⋊6C4≀C2 = C60.97D4φ: C4≀C2/C2×C4 → C22 ⊆ Aut C151204C15:6C4wrC2480,53
C15⋊7C4≀C2 = C60.98D4φ: C4≀C2/C2×C4 → C22 ⊆ Aut C151204C15:7C4wrC2480,54
C15⋊8C4≀C2 = C60.99D4φ: C4≀C2/C2×C4 → C22 ⊆ Aut C151204C15:8C4wrC2480,55
C15⋊9C4≀C2 = D60⋊13C4φ: C4≀C2/C2×C4 → C22 ⊆ Aut C151204C15:9C4wrC2480,56
C15⋊10C4≀C2 = D60⋊16C4φ: C4≀C2/C2×C4 → C22 ⊆ Aut C151204C15:10C4wrC2480,57
C15⋊11C4≀C2 = Dic10⋊Dic3φ: C4≀C2/D4 → C4 ⊆ Aut C151208C15:11C4wrC2480,313
C15⋊12C4≀C2 = C3×D4⋊F5φ: C4≀C2/D4 → C4 ⊆ Aut C151208C15:12C4wrC2480,288
C15⋊13C4≀C2 = D20⋊2Dic3φ: C4≀C2/Q8 → C4 ⊆ Aut C151208C15:13C4wrC2480,315
C15⋊14C4≀C2 = C3×Q8⋊2F5φ: C4≀C2/Q8 → C4 ⊆ Aut C151208C15:14C4wrC2480,290
C15⋊15C4≀C2 = D60⋊7C4φ: C4≀C2/C42 → C2 ⊆ Aut C151202C15:15C4wrC2480,165
C15⋊16C4≀C2 = C3×D20⋊4C4φ: C4≀C2/C42 → C2 ⊆ Aut C151202C15:16C4wrC2480,83
C15⋊17C4≀C2 = C5×C42⋊4S3φ: C4≀C2/C42 → C2 ⊆ Aut C151202C15:17C4wrC2480,124
C15⋊18C4≀C2 = D60⋊10C4φ: C4≀C2/M4(2) → C2 ⊆ Aut C151204C15:18C4wrC2480,185
C15⋊19C4≀C2 = C3×D20⋊7C4φ: C4≀C2/M4(2) → C2 ⊆ Aut C151204C15:19C4wrC2480,103
C15⋊20C4≀C2 = C5×D12⋊C4φ: C4≀C2/M4(2) → C2 ⊆ Aut C151204C15:20C4wrC2480,144
C15⋊21C4≀C2 = Q8⋊3Dic15φ: C4≀C2/C4○D4 → C2 ⊆ Aut C151204C15:21C4wrC2480,197
C15⋊22C4≀C2 = C3×D4⋊2Dic5φ: C4≀C2/C4○D4 → C2 ⊆ Aut C151204C15:22C4wrC2480,115
C15⋊23C4≀C2 = C5×Q8⋊3Dic3φ: C4≀C2/C4○D4 → C2 ⊆ Aut C151204C15:23C4wrC2480,156


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