Extensions 1→N→G→Q→1 with N=C12.58D6 and Q=C2

Direct product G=N×Q with N=C12.58D6 and Q=C2
dρLabelID
C2×C12.58D6144C2xC12.58D6288,778

Semidirect products G=N:Q with N=C12.58D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.58D61C2 = C122⋊C2φ: C2/C1C2 ⊆ Out C12.58D672C12.58D6:1C2288,280
C12.58D62C2 = C12.D12φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6:2C2288,206
C12.58D63C2 = D122Dic3φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6:3C2288,217
C12.58D64C2 = C12.19D12φ: C2/C1C2 ⊆ Out C12.58D672C12.58D6:4C2288,298
C12.58D65C2 = (C6×D4).S3φ: C2/C1C2 ⊆ Out C12.58D672C12.58D6:5C2288,308
C12.58D66C2 = C62.39D4φ: C2/C1C2 ⊆ Out C12.58D672C12.58D6:6C2288,312
C12.58D67C2 = S3×C4.Dic3φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6:7C2288,461
C12.58D68C2 = D12.2Dic3φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6:8C2288,462
C12.58D69C2 = D1220D6φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6:9C2288,471
C12.58D610C2 = D12.32D6φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6:10C2288,475
C12.58D611C2 = M4(2)×C3⋊S3φ: C2/C1C2 ⊆ Out C12.58D672C12.58D6:11C2288,763
C12.58D612C2 = C62.131D4φ: C2/C1C2 ⊆ Out C12.58D672C12.58D6:12C2288,789
C12.58D613C2 = C62.134D4φ: C2/C1C2 ⊆ Out C12.58D6144C12.58D6:13C2288,799
C12.58D614C2 = D4.(C3⋊Dic3)φ: C2/C1C2 ⊆ Out C12.58D6144C12.58D6:14C2288,805
C12.58D615C2 = C62.73D4φ: C2/C1C2 ⊆ Out C12.58D672C12.58D6:15C2288,806
C12.58D616C2 = C62.75D4φ: C2/C1C2 ⊆ Out C12.58D6144C12.58D6:16C2288,808
C12.58D617C2 = C24.95D6φ: trivial image144C12.58D6:17C2288,758

Non-split extensions G=N.Q with N=C12.58D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.58D6.1C2 = C12.59D12φ: C2/C1C2 ⊆ Out C12.58D6144C12.58D6.1C2288,294
C12.58D6.2C2 = C12.14D12φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6.2C2288,208
C12.58D6.3C2 = C12.82D12φ: C2/C1C2 ⊆ Out C12.58D6484C12.58D6.3C2288,225
C12.58D6.4C2 = C62.8Q8φ: C2/C1C2 ⊆ Out C12.58D6144C12.58D6.4C2288,297
C12.58D6.5C2 = C12.20D12φ: C2/C1C2 ⊆ Out C12.58D6144C12.58D6.5C2288,299
C12.58D6.6C2 = (C6×C12).C4φ: C2/C1C2 ⊆ Out C12.58D6144C12.58D6.6C2288,311

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