# Extensions 1→N→G→Q→1 with N=C4 and Q=C22×C3⋊S3

Direct product G=N×Q with N=C4 and Q=C22×C3⋊S3
dρLabelID
C22×C4×C3⋊S3144C2^2xC4xC3:S3288,1004

Semidirect products G=N:Q with N=C4 and Q=C22×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C41(C22×C3⋊S3) = C2×D4×C3⋊S3φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4:1(C2^2xC3:S3)288,1007
C42(C22×C3⋊S3) = C22×C12⋊S3φ: C22×C3⋊S3/C62C2 ⊆ Aut C4144C4:2(C2^2xC3:S3)288,1005

Non-split extensions G=N.Q with N=C4 and Q=C22×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C4.1(C22×C3⋊S3) = D8×C3⋊S3φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.1(C2^2xC3:S3)288,767
C4.2(C22×C3⋊S3) = C248D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.2(C2^2xC3:S3)288,768
C4.3(C22×C3⋊S3) = C24.26D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.3(C2^2xC3:S3)288,769
C4.4(C22×C3⋊S3) = SD16×C3⋊S3φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.4(C2^2xC3:S3)288,770
C4.5(C22×C3⋊S3) = C247D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.5(C2^2xC3:S3)288,771
C4.6(C22×C3⋊S3) = C24.32D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.6(C2^2xC3:S3)288,772
C4.7(C22×C3⋊S3) = C24.40D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.7(C2^2xC3:S3)288,773
C4.8(C22×C3⋊S3) = Q16×C3⋊S3φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.8(C2^2xC3:S3)288,774
C4.9(C22×C3⋊S3) = C24.35D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.9(C2^2xC3:S3)288,775
C4.10(C22×C3⋊S3) = C24.28D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.10(C2^2xC3:S3)288,776
C4.11(C22×C3⋊S3) = C2×C327D8φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.11(C2^2xC3:S3)288,788
C4.12(C22×C3⋊S3) = C62.131D4φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.12(C2^2xC3:S3)288,789
C4.13(C22×C3⋊S3) = C2×C329SD16φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.13(C2^2xC3:S3)288,790
C4.14(C22×C3⋊S3) = C2×C3211SD16φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.14(C2^2xC3:S3)288,798
C4.15(C22×C3⋊S3) = C62.134D4φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.15(C2^2xC3:S3)288,799
C4.16(C22×C3⋊S3) = C2×C327Q16φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4288C4.16(C2^2xC3:S3)288,800
C4.17(C22×C3⋊S3) = C62.73D4φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.17(C2^2xC3:S3)288,806
C4.18(C22×C3⋊S3) = C62.74D4φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.18(C2^2xC3:S3)288,807
C4.19(C22×C3⋊S3) = C62.75D4φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.19(C2^2xC3:S3)288,808
C4.20(C22×C3⋊S3) = C2×C12.D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.20(C2^2xC3:S3)288,1008
C4.21(C22×C3⋊S3) = C3282+ 1+4φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.21(C2^2xC3:S3)288,1009
C4.22(C22×C3⋊S3) = C2×Q8×C3⋊S3φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.22(C2^2xC3:S3)288,1010
C4.23(C22×C3⋊S3) = C2×C12.26D6φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.23(C2^2xC3:S3)288,1011
C4.24(C22×C3⋊S3) = C3272- 1+4φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C4144C4.24(C2^2xC3:S3)288,1012
C4.25(C22×C3⋊S3) = C4○D4×C3⋊S3φ: C22×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C472C4.25(C2^2xC3:S3)288,1013
C4.26(C22×C3⋊S3) = C2×C242S3φ: C22×C3⋊S3/C62C2 ⊆ Aut C4144C4.26(C2^2xC3:S3)288,759
C4.27(C22×C3⋊S3) = C2×C325D8φ: C22×C3⋊S3/C62C2 ⊆ Aut C4144C4.27(C2^2xC3:S3)288,760
C4.28(C22×C3⋊S3) = C24.78D6φ: C22×C3⋊S3/C62C2 ⊆ Aut C4144C4.28(C2^2xC3:S3)288,761
C4.29(C22×C3⋊S3) = C2×C325Q16φ: C22×C3⋊S3/C62C2 ⊆ Aut C4288C4.29(C2^2xC3:S3)288,762
C4.30(C22×C3⋊S3) = C243D6φ: C22×C3⋊S3/C62C2 ⊆ Aut C472C4.30(C2^2xC3:S3)288,765
C4.31(C22×C3⋊S3) = C24.5D6φ: C22×C3⋊S3/C62C2 ⊆ Aut C4144C4.31(C2^2xC3:S3)288,766
C4.32(C22×C3⋊S3) = C22×C324Q8φ: C22×C3⋊S3/C62C2 ⊆ Aut C4288C4.32(C2^2xC3:S3)288,1003
C4.33(C22×C3⋊S3) = C62.154C23φ: C22×C3⋊S3/C62C2 ⊆ Aut C472C4.33(C2^2xC3:S3)288,1014
C4.34(C22×C3⋊S3) = C3292- 1+4φ: C22×C3⋊S3/C62C2 ⊆ Aut C4144C4.34(C2^2xC3:S3)288,1015
C4.35(C22×C3⋊S3) = C2×C8×C3⋊S3central extension (φ=1)144C4.35(C2^2xC3:S3)288,756
C4.36(C22×C3⋊S3) = C2×C24⋊S3central extension (φ=1)144C4.36(C2^2xC3:S3)288,757
C4.37(C22×C3⋊S3) = C24.95D6central extension (φ=1)144C4.37(C2^2xC3:S3)288,758
C4.38(C22×C3⋊S3) = M4(2)×C3⋊S3central extension (φ=1)72C4.38(C2^2xC3:S3)288,763
C4.39(C22×C3⋊S3) = C24.47D6central extension (φ=1)144C4.39(C2^2xC3:S3)288,764
C4.40(C22×C3⋊S3) = C22×C324C8central extension (φ=1)288C4.40(C2^2xC3:S3)288,777
C4.41(C22×C3⋊S3) = C2×C12.58D6central extension (φ=1)144C4.41(C2^2xC3:S3)288,778
C4.42(C22×C3⋊S3) = D4.(C3⋊Dic3)central extension (φ=1)144C4.42(C2^2xC3:S3)288,805
C4.43(C22×C3⋊S3) = C2×C12.59D6central extension (φ=1)144C4.43(C2^2xC3:S3)288,1006

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