# Extensions 1→N→G→Q→1 with N=C6 and Q=C22×C12

Direct product G=N×Q with N=C6 and Q=C22×C12
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C6 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C61(C22×C12) = S3×C22×C12φ: C22×C12/C2×C12C2 ⊆ Aut C696C6:1(C2^2xC12)288,989
C62(C22×C12) = Dic3×C22×C6φ: C22×C12/C22×C6C2 ⊆ Aut C696C6:2(C2^2xC12)288,1001

Non-split extensions G=N.Q with N=C6 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C6.1(C22×C12) = C12×Dic6φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.1(C2^2xC12)288,639
C6.2(C22×C12) = S3×C4×C12φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.2(C2^2xC12)288,642
C6.3(C22×C12) = C3×C422S3φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.3(C2^2xC12)288,643
C6.4(C22×C12) = C12×D12φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.4(C2^2xC12)288,644
C6.5(C22×C12) = C3×C23.16D6φ: C22×C12/C2×C12C2 ⊆ Aut C648C6.5(C2^2xC12)288,648
C6.6(C22×C12) = C3×S3×C22⋊C4φ: C22×C12/C2×C12C2 ⊆ Aut C648C6.6(C2^2xC12)288,651
C6.7(C22×C12) = C3×Dic34D4φ: C22×C12/C2×C12C2 ⊆ Aut C648C6.7(C2^2xC12)288,652
C6.8(C22×C12) = C3×Dic6⋊C4φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.8(C2^2xC12)288,658
C6.9(C22×C12) = C3×S3×C4⋊C4φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.9(C2^2xC12)288,662
C6.10(C22×C12) = C3×C4⋊C47S3φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.10(C2^2xC12)288,663
C6.11(C22×C12) = C3×Dic35D4φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.11(C2^2xC12)288,664
C6.12(C22×C12) = S3×C2×C24φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.12(C2^2xC12)288,670
C6.13(C22×C12) = C6×C8⋊S3φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.13(C2^2xC12)288,671
C6.14(C22×C12) = C3×C8○D12φ: C22×C12/C2×C12C2 ⊆ Aut C6482C6.14(C2^2xC12)288,672
C6.15(C22×C12) = C3×S3×M4(2)φ: C22×C12/C2×C12C2 ⊆ Aut C6484C6.15(C2^2xC12)288,677
C6.16(C22×C12) = C3×D12.C4φ: C22×C12/C2×C12C2 ⊆ Aut C6484C6.16(C2^2xC12)288,678
C6.17(C22×C12) = C6×Dic3⋊C4φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.17(C2^2xC12)288,694
C6.18(C22×C12) = C6×D6⋊C4φ: C22×C12/C2×C12C2 ⊆ Aut C696C6.18(C2^2xC12)288,698
C6.19(C22×C12) = C12×C3⋊D4φ: C22×C12/C2×C12C2 ⊆ Aut C648C6.19(C2^2xC12)288,699
C6.20(C22×C12) = C2×C6×C3⋊C8φ: C22×C12/C22×C6C2 ⊆ Aut C696C6.20(C2^2xC12)288,691
C6.21(C22×C12) = C6×C4.Dic3φ: C22×C12/C22×C6C2 ⊆ Aut C648C6.21(C2^2xC12)288,692
C6.22(C22×C12) = Dic3×C2×C12φ: C22×C12/C22×C6C2 ⊆ Aut C696C6.22(C2^2xC12)288,693
C6.23(C22×C12) = C6×C4⋊Dic3φ: C22×C12/C22×C6C2 ⊆ Aut C696C6.23(C2^2xC12)288,696
C6.24(C22×C12) = C3×C23.26D6φ: C22×C12/C22×C6C2 ⊆ Aut C648C6.24(C2^2xC12)288,697
C6.25(C22×C12) = C3×D4×Dic3φ: C22×C12/C22×C6C2 ⊆ Aut C648C6.25(C2^2xC12)288,705
C6.26(C22×C12) = C3×Q8×Dic3φ: C22×C12/C22×C6C2 ⊆ Aut C696C6.26(C2^2xC12)288,716
C6.27(C22×C12) = C3×D4.Dic3φ: C22×C12/C22×C6C2 ⊆ Aut C6484C6.27(C2^2xC12)288,719
C6.28(C22×C12) = C6×C6.D4φ: C22×C12/C22×C6C2 ⊆ Aut C648C6.28(C2^2xC12)288,723
C6.29(C22×C12) = C22⋊C4×C18central extension (φ=1)144C6.29(C2^2xC12)288,165
C6.30(C22×C12) = C4⋊C4×C18central extension (φ=1)288C6.30(C2^2xC12)288,166
C6.31(C22×C12) = C9×C42⋊C2central extension (φ=1)144C6.31(C2^2xC12)288,167
C6.32(C22×C12) = D4×C36central extension (φ=1)144C6.32(C2^2xC12)288,168
C6.33(C22×C12) = Q8×C36central extension (φ=1)288C6.33(C2^2xC12)288,169
C6.34(C22×C12) = M4(2)×C18central extension (φ=1)144C6.34(C2^2xC12)288,180
C6.35(C22×C12) = C9×C8○D4central extension (φ=1)1442C6.35(C2^2xC12)288,181
C6.36(C22×C12) = C22⋊C4×C3×C6central extension (φ=1)144C6.36(C2^2xC12)288,812
C6.37(C22×C12) = C4⋊C4×C3×C6central extension (φ=1)288C6.37(C2^2xC12)288,813
C6.38(C22×C12) = C32×C42⋊C2central extension (φ=1)144C6.38(C2^2xC12)288,814
C6.39(C22×C12) = D4×C3×C12central extension (φ=1)144C6.39(C2^2xC12)288,815
C6.40(C22×C12) = Q8×C3×C12central extension (φ=1)288C6.40(C2^2xC12)288,816
C6.41(C22×C12) = M4(2)×C3×C6central extension (φ=1)144C6.41(C2^2xC12)288,827
C6.42(C22×C12) = C32×C8○D4central extension (φ=1)144C6.42(C2^2xC12)288,828

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