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Extensions 1→N→G→Q→1 with N=C6 and Q=C23⋊C4

Direct product G=N×Q with N=C6 and Q=C23⋊C4
dρLabelID
C6×C23⋊C448C6xC2^3:C4192,842

Semidirect products G=N:Q with N=C6 and Q=C23⋊C4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C23⋊C4) = C2×C23.6D6φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6:1(C2^3:C4)192,513
C6⋊2(C23⋊C4) = C2×C23.7D6φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C648C6:2(C2^3:C4)192,778

Non-split extensions G=N.Q with N=C6 and Q=C23⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(C23⋊C4) = C6.C4≀C2φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.1(C2^3:C4)192,10
C6.2(C23⋊C4) = C4⋊Dic3⋊C4φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.2(C2^3:C4)192,11
C6.3(C23⋊C4) = C23.35D12φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.3(C2^3:C4)192,26
C6.4(C23⋊C4) = (C22×S3)⋊C8φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.4(C2^3:C4)192,27
C6.5(C23⋊C4) = (C2×Dic3)⋊C8φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.5(C2^3:C4)192,28
C6.6(C23⋊C4) = C22.2D24φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.6(C2^3:C4)192,29
C6.7(C23⋊C4) = C3⋊C2≀C4φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6248+C6.7(C2^3:C4)192,30
C6.8(C23⋊C4) = (C2×D4).D6φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6488-C6.8(C2^3:C4)192,31
C6.9(C23⋊C4) = C23.D12φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6488-C6.9(C2^3:C4)192,32
C6.10(C23⋊C4) = C23.2D12φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6248+C6.10(C2^3:C4)192,33
C6.11(C23⋊C4) = C23.3D12φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6248+C6.11(C2^3:C4)192,34
C6.12(C23⋊C4) = C23.4D12φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6488-C6.12(C2^3:C4)192,35
C6.13(C23⋊C4) = (C2×C4).D12φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6488+C6.13(C2^3:C4)192,36
C6.14(C23⋊C4) = (C2×C12).D4φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C6488-C6.14(C2^3:C4)192,37
C6.15(C23⋊C4) = C24.13D6φ: C23⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.15(C2^3:C4)192,86
C6.16(C23⋊C4) = C24.3Dic3φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C648C6.16(C2^3:C4)192,84
C6.17(C23⋊C4) = C24.12D6φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C648C6.17(C2^3:C4)192,85
C6.18(C23⋊C4) = (C2×C12)⋊C8φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C696C6.18(C2^3:C4)192,87
C6.19(C23⋊C4) = C24⋊5Dic3φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C6244C6.19(C2^3:C4)192,95
C6.20(C23⋊C4) = (C6×D4)⋊C4φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C648C6.20(C2^3:C4)192,96
C6.21(C23⋊C4) = (C6×Q8)⋊C4φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C648C6.21(C2^3:C4)192,97
C6.22(C23⋊C4) = (C22×C12)⋊C4φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C6484C6.22(C2^3:C4)192,98
C6.23(C23⋊C4) = C42⋊4Dic3φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C6484C6.23(C2^3:C4)192,100
C6.24(C23⋊C4) = C42.Dic3φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C6484C6.24(C2^3:C4)192,101
C6.25(C23⋊C4) = C42⋊5Dic3φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C6244C6.25(C2^3:C4)192,104
C6.26(C23⋊C4) = C42.3Dic3φ: C23⋊C4/C2×D4 → C2 ⊆ Aut C6484C6.26(C2^3:C4)192,107
C6.27(C23⋊C4) = C3×C23⋊C8central extension (φ=1)48C6.27(C2^3:C4)192,129
C6.28(C23⋊C4) = C3×C22.M4(2)central extension (φ=1)96C6.28(C2^3:C4)192,130
C6.29(C23⋊C4) = C3×C22.SD16central extension (φ=1)48C6.29(C2^3:C4)192,133
C6.30(C23⋊C4) = C3×C23.31D4central extension (φ=1)48C6.30(C2^3:C4)192,134
C6.31(C23⋊C4) = C3×C23.9D4central extension (φ=1)48C6.31(C2^3:C4)192,148
C6.32(C23⋊C4) = C3×C2≀C4central extension (φ=1)244C6.32(C2^3:C4)192,157
C6.33(C23⋊C4) = C3×C23.D4central extension (φ=1)484C6.33(C2^3:C4)192,158
C6.34(C23⋊C4) = C3×C42⋊C4central extension (φ=1)244C6.34(C2^3:C4)192,159
C6.35(C23⋊C4) = C3×C42⋊3C4central extension (φ=1)484C6.35(C2^3:C4)192,160
C6.36(C23⋊C4) = C3×C42.C4central extension (φ=1)484C6.36(C2^3:C4)192,161
C6.37(C23⋊C4) = C3×C42.3C4central extension (φ=1)484C6.37(C2^3:C4)192,162

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