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Extensions 1→N→G→Q→1 with N=C6 and Q=C6.D4

Direct product G=N×Q with N=C6 and Q=C6.D4
dρLabelID
C6×C6.D448C6xC6.D4288,723

Semidirect products G=N:Q with N=C6 and Q=C6.D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C6.D4) = C2×D6⋊Dic3φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C696C6:1(C6.D4)288,608
C6⋊2(C6.D4) = C2×C62⋊5C4φ: C6.D4/C22×C6 → C2 ⊆ Aut C6144C6:2(C6.D4)288,809

Non-split extensions G=N.Q with N=C6 and Q=C6.D4
extensionφ:Q→Aut NdρLabelID
C6.1(C6.D4) = C12.77D12φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C696C6.1(C6.D4)288,204
C6.2(C6.D4) = C12.D12φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C6484C6.2(C6.D4)288,206
C6.3(C6.D4) = C12.14D12φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C6484C6.3(C6.D4)288,208
C6.4(C6.D4) = D12⋊3Dic3φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C696C6.4(C6.D4)288,210
C6.5(C6.D4) = C6.16D24φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C696C6.5(C6.D4)288,211
C6.6(C6.D4) = Dic6⋊Dic3φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C696C6.6(C6.D4)288,213
C6.7(C6.D4) = C6.Dic12φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C696C6.7(C6.D4)288,214
C6.8(C6.D4) = D12⋊4Dic3φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C6244C6.8(C6.D4)288,216
C6.9(C6.D4) = D12⋊2Dic3φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C6484C6.9(C6.D4)288,217
C6.10(C6.D4) = C62.6Q8φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C696C6.10(C6.D4)288,227
C6.11(C6.D4) = C62.31D4φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C6244C6.11(C6.D4)288,228
C6.12(C6.D4) = C36.55D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C6144C6.12(C6.D4)288,37
C6.13(C6.D4) = C18.C42φ: C6.D4/C22×C6 → C2 ⊆ Aut C6288C6.13(C6.D4)288,38
C6.14(C6.D4) = C36.D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C6724C6.14(C6.D4)288,39
C6.15(C6.D4) = D4⋊Dic9φ: C6.D4/C22×C6 → C2 ⊆ Aut C6144C6.15(C6.D4)288,40
C6.16(C6.D4) = C23⋊2Dic9φ: C6.D4/C22×C6 → C2 ⊆ Aut C6724C6.16(C6.D4)288,41
C6.17(C6.D4) = C36.9D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C61444C6.17(C6.D4)288,42
C6.18(C6.D4) = Q8⋊2Dic9φ: C6.D4/C22×C6 → C2 ⊆ Aut C6288C6.18(C6.D4)288,43
C6.19(C6.D4) = Q8⋊3Dic9φ: C6.D4/C22×C6 → C2 ⊆ Aut C6724C6.19(C6.D4)288,44
C6.20(C6.D4) = C2×C18.D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C6144C6.20(C6.D4)288,162
C6.21(C6.D4) = C62⋊7C8φ: C6.D4/C22×C6 → C2 ⊆ Aut C6144C6.21(C6.D4)288,305
C6.22(C6.D4) = C62.15Q8φ: C6.D4/C22×C6 → C2 ⊆ Aut C6288C6.22(C6.D4)288,306
C6.23(C6.D4) = C62.116D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C6144C6.23(C6.D4)288,307
C6.24(C6.D4) = (C6×D4).S3φ: C6.D4/C22×C6 → C2 ⊆ Aut C672C6.24(C6.D4)288,308
C6.25(C6.D4) = C62.38D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C672C6.25(C6.D4)288,309
C6.26(C6.D4) = C62.117D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C6288C6.26(C6.D4)288,310
C6.27(C6.D4) = (C6×C12).C4φ: C6.D4/C22×C6 → C2 ⊆ Aut C6144C6.27(C6.D4)288,311
C6.28(C6.D4) = C62.39D4φ: C6.D4/C22×C6 → C2 ⊆ Aut C672C6.28(C6.D4)288,312
C6.29(C6.D4) = C3×C12.55D4central extension (φ=1)48C6.29(C6.D4)288,264
C6.30(C6.D4) = C3×C6.C42central extension (φ=1)96C6.30(C6.D4)288,265
C6.31(C6.D4) = C3×D4⋊Dic3central extension (φ=1)48C6.31(C6.D4)288,266
C6.32(C6.D4) = C3×C12.D4central extension (φ=1)244C6.32(C6.D4)288,267
C6.33(C6.D4) = C3×C23.7D6central extension (φ=1)244C6.33(C6.D4)288,268
C6.34(C6.D4) = C3×Q8⋊2Dic3central extension (φ=1)96C6.34(C6.D4)288,269
C6.35(C6.D4) = C3×C12.10D4central extension (φ=1)484C6.35(C6.D4)288,270
C6.36(C6.D4) = C3×Q8⋊3Dic3central extension (φ=1)484C6.36(C6.D4)288,271

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