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

Direct product G=N×Q with N=C4 and Q=C4≀C2
dρLabelID
C4×C4≀C232C4xC4wrC2128,490

Semidirect products G=N:Q with N=C4 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C4⋊1C4≀C2 = C43⋊C2φ: C4≀C2/C42 → C2 ⊆ Aut C432C4:1C4wrC2128,694
C4⋊2C4≀C2 = M4(2)⋊13D4φ: C4≀C2/M4(2) → C2 ⊆ Aut C432C4:2C4wrC2128,712
C4⋊3C4≀C2 = C42.102D4φ: C4≀C2/C4○D4 → C2 ⊆ Aut C432C4:3C4wrC2128,538

Non-split extensions G=N.Q with N=C4 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C4.1C4≀C2 = C4.16D16φ: C4≀C2/C42 → C2 ⊆ Aut C464C4.1C4wrC2128,63
C4.2C4≀C2 = Q16⋊1C8φ: C4≀C2/C42 → C2 ⊆ Aut C4128C4.2C4wrC2128,64
C4.3C4≀C2 = D8⋊C8φ: C4≀C2/C42 → C2 ⊆ Aut C464C4.3C4wrC2128,65
C4.4C4≀C2 = Q16⋊C8φ: C4≀C2/C42 → C2 ⊆ Aut C4128C4.4C4wrC2128,66
C4.5C4≀C2 = C23.D8φ: C4≀C2/C42 → C2 ⊆ Aut C4168+C4.5C4wrC2128,71
C4.6C4≀C2 = C23.2D8φ: C4≀C2/C42 → C2 ⊆ Aut C4328-C4.6C4wrC2128,72
C4.7C4≀C2 = C23.SD16φ: C4≀C2/C42 → C2 ⊆ Aut C4168+C4.7C4wrC2128,73
C4.8C4≀C2 = C23.2SD16φ: C4≀C2/C42 → C2 ⊆ Aut C4328-C4.8C4wrC2128,74
C4.9C4≀C2 = C4.C4≀C2φ: C4≀C2/C42 → C2 ⊆ Aut C4168+C4.9C4wrC2128,87
C4.10C4≀C2 = C42.(C2×C4)φ: C4≀C2/C42 → C2 ⊆ Aut C4328-C4.10C4wrC2128,88
C4.11C4≀C2 = C42.315D4φ: C4≀C2/C42 → C2 ⊆ Aut C464C4.11C4wrC2128,224
C4.12C4≀C2 = C42.316D4φ: C4≀C2/C42 → C2 ⊆ Aut C464C4.12C4wrC2128,225
C4.13C4≀C2 = C42.55D4φ: C4≀C2/C42 → C2 ⊆ Aut C432C4.13C4wrC2128,237
C4.14C4≀C2 = C42.56D4φ: C4≀C2/C42 → C2 ⊆ Aut C432C4.14C4wrC2128,238
C4.15C4≀C2 = C42.67D4φ: C4≀C2/C42 → C2 ⊆ Aut C464C4.15C4wrC2128,262
C4.16C4≀C2 = C42.68D4φ: C4≀C2/C42 → C2 ⊆ Aut C464C4.16C4wrC2128,263
C4.17C4≀C2 = C42⋊16Q8φ: C4≀C2/C42 → C2 ⊆ Aut C432C4.17C4wrC2128,726
C4.18C4≀C2 = C22.SD32φ: C4≀C2/M4(2) → C2 ⊆ Aut C432C4.18C4wrC2128,79
C4.19C4≀C2 = C23.32D8φ: C4≀C2/M4(2) → C2 ⊆ Aut C432C4.19C4wrC2128,80
C4.20C4≀C2 = C23.12SD16φ: C4≀C2/M4(2) → C2 ⊆ Aut C464C4.20C4wrC2128,81
C4.21C4≀C2 = C23.13SD16φ: C4≀C2/M4(2) → C2 ⊆ Aut C464C4.21C4wrC2128,82
C4.22C4≀C2 = C42.400D4φ: C4≀C2/M4(2) → C2 ⊆ Aut C464C4.22C4wrC2128,216
C4.23C4≀C2 = C42.401D4φ: C4≀C2/M4(2) → C2 ⊆ Aut C464C4.23C4wrC2128,217
C4.24C4≀C2 = C42.403D4φ: C4≀C2/M4(2) → C2 ⊆ Aut C432C4.24C4wrC2128,234
C4.25C4≀C2 = C42.404D4φ: C4≀C2/M4(2) → C2 ⊆ Aut C432C4.25C4wrC2128,235
C4.26C4≀C2 = C42.405D4φ: C4≀C2/M4(2) → C2 ⊆ Aut C464C4.26C4wrC2128,257
C4.27C4≀C2 = C42.406D4φ: C4≀C2/M4(2) → C2 ⊆ Aut C464C4.27C4wrC2128,258
C4.28C4≀C2 = M4(2)⋊7Q8φ: C4≀C2/M4(2) → C2 ⊆ Aut C432C4.28C4wrC2128,718
C4.29C4≀C2 = C42.4Q8φ: C4≀C2/C4○D4 → C2 ⊆ Aut C432C4.29C4wrC2128,17
C4.30C4≀C2 = C42.26D4φ: C4≀C2/C4○D4 → C2 ⊆ Aut C464C4.30C4wrC2128,23
C4.31C4≀C2 = C42.388D4φ: C4≀C2/C4○D4 → C2 ⊆ Aut C464C4.31C4wrC2128,31
C4.32C4≀C2 = C42.10Q8φ: C4≀C2/C4○D4 → C2 ⊆ Aut C432C4.32C4wrC2128,35
C4.33C4≀C2 = D4⋊4M4(2)φ: C4≀C2/C4○D4 → C2 ⊆ Aut C464C4.33C4wrC2128,221
C4.34C4≀C2 = C42.57D4φ: C4≀C2/C4○D4 → C2 ⊆ Aut C432C4.34C4wrC2128,241
C4.35C4≀C2 = C42.376D4φ: C4≀C2/C4○D4 → C2 ⊆ Aut C464C4.35C4wrC2128,261
C4.36C4≀C2 = C42⋊6C8central extension (φ=1)32C4.36C4wrC2128,8
C4.37C4≀C2 = M4(2)⋊C8central extension (φ=1)64C4.37C4wrC2128,10
C4.38C4≀C2 = C42.9Q8central extension (φ=1)32C4.38C4wrC2128,32
C4.39C4≀C2 = C42.370D4central extension (φ=1)64C4.39C4wrC2128,34
C4.40C4≀C2 = D4⋊C16central extension (φ=1)64C4.40C4wrC2128,61
C4.41C4≀C2 = C8.31D8central extension (φ=1)64C4.41C4wrC2128,62
C4.42C4≀C2 = Q8⋊C16central extension (φ=1)128C4.42C4wrC2128,69
C4.43C4≀C2 = C8.17Q16central extension (φ=1)128C4.43C4wrC2128,70
C4.44C4≀C2 = C42.455D4central extension (φ=1)64C4.44C4wrC2128,208
C4.45C4≀C2 = C42.375D4central extension (φ=1)32C4.45C4wrC2128,232
C4.46C4≀C2 = C42.66D4central extension (φ=1)64C4.46C4wrC2128,256

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