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Extensions 1→N→G→Q→1 with N=D6⋊C4 and Q=C4

Direct product G=N×Q with N=D6⋊C4 and Q=C4
dρLabelID
C4×D6⋊C496C4xD6:C4192,497

Semidirect products G=N:Q with N=D6⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
D6⋊C4⋊1C4 = (C2×C42)⋊3S3φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4:1C4192,499
D6⋊C4⋊2C4 = D6⋊C4⋊C4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4:2C4192,227
D6⋊C4⋊3C4 = D6⋊C4⋊3C4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4:3C4192,229
D6⋊C4⋊4C4 = D6⋊C42φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4:4C4192,225
D6⋊C4⋊5C4 = D6⋊C4⋊5C4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4:5C4192,228
D6⋊C4⋊6C4 = D6⋊C4⋊6C4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4:6C4192,548
D6⋊C4⋊7C4 = D6⋊C4⋊7C4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4:7C4192,549

Non-split extensions G=N.Q with N=D6⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
D6⋊C4.1C4 = C8⋊6D12φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.1C4192,247
D6⋊C4.2C4 = C42.243D6φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.2C4192,249
D6⋊C4.3C4 = C24⋊33D4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.3C4192,670
D6⋊C4.4C4 = C8⋊9D12φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.4C4192,265
D6⋊C4.5C4 = D6⋊2M4(2)φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.5C4192,287
D6⋊C4.6C4 = Dic3⋊M4(2)φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.6C4192,288
D6⋊C4.7C4 = D6.4C42φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.7C4192,267
D6⋊C4.8C4 = C42.185D6φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.8C4192,268
D6⋊C4.9C4 = C3⋊D4⋊C8φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.9C4192,284
D6⋊C4.10C4 = C3⋊C8⋊26D4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.10C4192,289
D6⋊C4.11C4 = D12⋊C8φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.11C4192,393
D6⋊C4.12C4 = C12⋊2M4(2)φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.12C4192,397
D6⋊C4.13C4 = D6⋊3M4(2)φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.13C4192,395
D6⋊C4.14C4 = C42.30D6φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.14C4192,398
D6⋊C4.15C4 = C42.31D6φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.15C4192,399
D6⋊C4.16C4 = C24⋊D4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.16C4192,686
D6⋊C4.17C4 = C24⋊21D4φ: C4/C2 → C2 ⊆ Out D6⋊C496D6:C4.17C4192,687
D6⋊C4.18C4 = C8×D12φ: trivial image96D6:C4.18C4192,245
D6⋊C4.19C4 = D6.C42φ: trivial image96D6:C4.19C4192,248
D6⋊C4.20C4 = C8×C3⋊D4φ: trivial image96D6:C4.20C4192,668

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