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Extensions 1→N→G→Q→1 with N=C22 and Q=S3×Q8

Direct product G=N×Q with N=C22 and Q=S3×Q8
dρLabelID
C22×S3×Q896C2^2xS3xQ8192,1517

Semidirect products G=N:Q with N=C22 and Q=S3×Q8
extensionφ:Q→Aut NdρLabelID
C22⋊(S3×Q8) = Q8×S4φ: S3×Q8/Q8 → S3 ⊆ Aut C22246-C2^2:(S3xQ8)192,1477
C22⋊2(S3×Q8) = Dic6⋊21D4φ: S3×Q8/Dic6 → C2 ⊆ Aut C2296C2^2:2(S3xQ8)192,1191
C22⋊3(S3×Q8) = S3×C22⋊Q8φ: S3×Q8/C4×S3 → C2 ⊆ Aut C2248C2^2:3(S3xQ8)192,1185
C22⋊4(S3×Q8) = Q8×C3⋊D4φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C2296C2^2:4(S3xQ8)192,1374

Non-split extensions G=N.Q with N=C22 and Q=S3×Q8
extensionφ:Q→Aut NdρLabelID
C22.1(S3×Q8) = C6.1182+ 1+4φ: S3×Q8/Dic6 → C2 ⊆ Aut C2296C2^2.1(S3xQ8)192,1194
C22.2(S3×Q8) = C6.522+ 1+4φ: S3×Q8/Dic6 → C2 ⊆ Aut C2296C2^2.2(S3xQ8)192,1195
C22.3(S3×Q8) = S3×C8.C4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C22484C2^2.3(S3xQ8)192,451
C22.4(S3×Q8) = M4(2).25D6φ: S3×Q8/C4×S3 → C2 ⊆ Aut C22484C2^2.4(S3xQ8)192,452
C22.5(S3×Q8) = (Q8×Dic3)⋊C2φ: S3×Q8/C4×S3 → C2 ⊆ Aut C2296C2^2.5(S3xQ8)192,1181
C22.6(S3×Q8) = C6.752- 1+4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C2296C2^2.6(S3xQ8)192,1182
C22.7(S3×Q8) = C6.512+ 1+4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C2248C2^2.7(S3xQ8)192,1193
C22.8(S3×Q8) = C6.102+ 1+4φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C2296C2^2.8(S3xQ8)192,1070
C22.9(S3×Q8) = (C2×C12)⋊Q8central extension (φ=1)192C2^2.9(S3xQ8)192,205
C22.10(S3×Q8) = C6.(C4×Q8)central extension (φ=1)192C2^2.10(S3xQ8)192,206
C22.11(S3×Q8) = Dic3⋊C42central extension (φ=1)192C2^2.11(S3xQ8)192,208
C22.12(S3×Q8) = C3⋊(C42⋊8C4)central extension (φ=1)192C2^2.12(S3xQ8)192,209
C22.13(S3×Q8) = C6.(C4×D4)central extension (φ=1)192C2^2.13(S3xQ8)192,211
C22.14(S3×Q8) = C2.(C4×D12)central extension (φ=1)192C2^2.14(S3xQ8)192,212
C22.15(S3×Q8) = S3×C2.C42central extension (φ=1)96C2^2.15(S3xQ8)192,222
C22.16(S3×Q8) = D6⋊(C4⋊C4)central extension (φ=1)96C2^2.16(S3xQ8)192,226
C22.17(S3×Q8) = D6⋊C4⋊C4central extension (φ=1)96C2^2.17(S3xQ8)192,227
C22.18(S3×Q8) = C12⋊(C4⋊C4)central extension (φ=1)192C2^2.18(S3xQ8)192,531
C22.19(S3×Q8) = C4.(D6⋊C4)central extension (φ=1)192C2^2.19(S3xQ8)192,532
C22.20(S3×Q8) = Dic3×C4⋊C4central extension (φ=1)192C2^2.20(S3xQ8)192,533
C22.21(S3×Q8) = (C4×Dic3)⋊8C4central extension (φ=1)192C2^2.21(S3xQ8)192,534
C22.22(S3×Q8) = Dic3⋊(C4⋊C4)central extension (φ=1)192C2^2.22(S3xQ8)192,535
C22.23(S3×Q8) = C6.67(C4×D4)central extension (φ=1)192C2^2.23(S3xQ8)192,537
C22.24(S3×Q8) = C4⋊C4⋊5Dic3central extension (φ=1)192C2^2.24(S3xQ8)192,539
C22.25(S3×Q8) = C4⋊C4⋊6Dic3central extension (φ=1)192C2^2.25(S3xQ8)192,543
C22.26(S3×Q8) = C4⋊(D6⋊C4)central extension (φ=1)96C2^2.26(S3xQ8)192,546
C22.27(S3×Q8) = D6⋊C4⋊6C4central extension (φ=1)96C2^2.27(S3xQ8)192,548
C22.28(S3×Q8) = (C6×Q8)⋊7C4central extension (φ=1)192C2^2.28(S3xQ8)192,788
C22.29(S3×Q8) = C2×Dic6⋊C4central extension (φ=1)192C2^2.29(S3xQ8)192,1055
C22.30(S3×Q8) = C2×C12⋊Q8central extension (φ=1)192C2^2.30(S3xQ8)192,1056
C22.31(S3×Q8) = C2×Dic3.Q8central extension (φ=1)192C2^2.31(S3xQ8)192,1057
C22.32(S3×Q8) = C2×S3×C4⋊C4central extension (φ=1)96C2^2.32(S3xQ8)192,1060
C22.33(S3×Q8) = C2×D6⋊Q8central extension (φ=1)96C2^2.33(S3xQ8)192,1067
C22.34(S3×Q8) = C2×C4.D12central extension (φ=1)96C2^2.34(S3xQ8)192,1068
C22.35(S3×Q8) = C2×Dic3⋊Q8central extension (φ=1)192C2^2.35(S3xQ8)192,1369
C22.36(S3×Q8) = C2×Q8×Dic3central extension (φ=1)192C2^2.36(S3xQ8)192,1370
C22.37(S3×Q8) = C2×D6⋊3Q8central extension (φ=1)96C2^2.37(S3xQ8)192,1372
C22.38(S3×Q8) = (C2×C4)⋊Dic6central stem extension (φ=1)192C2^2.38(S3xQ8)192,215
C22.39(S3×Q8) = C6.(C4⋊Q8)central stem extension (φ=1)192C2^2.39(S3xQ8)192,216
C22.40(S3×Q8) = (C2×Dic3).9D4central stem extension (φ=1)192C2^2.40(S3xQ8)192,217
C22.41(S3×Q8) = (C2×C4).17D12central stem extension (φ=1)192C2^2.41(S3xQ8)192,218
C22.42(S3×Q8) = (C22×S3)⋊Q8central stem extension (φ=1)96C2^2.42(S3xQ8)192,232
C22.43(S3×Q8) = (C22×C4).37D6central stem extension (φ=1)96C2^2.43(S3xQ8)192,235
C22.44(S3×Q8) = (C2×C12).33D4central stem extension (φ=1)96C2^2.44(S3xQ8)192,236
C22.45(S3×Q8) = (C2×Dic3)⋊Q8central stem extension (φ=1)192C2^2.45(S3xQ8)192,538
C22.46(S3×Q8) = (C2×C4).44D12central stem extension (φ=1)192C2^2.46(S3xQ8)192,540
C22.47(S3×Q8) = (C2×C12).54D4central stem extension (φ=1)192C2^2.47(S3xQ8)192,541
C22.48(S3×Q8) = (C2×Dic3).Q8central stem extension (φ=1)192C2^2.48(S3xQ8)192,542
C22.49(S3×Q8) = (C2×C12).288D4central stem extension (φ=1)192C2^2.49(S3xQ8)192,544
C22.50(S3×Q8) = (C2×C12).290D4central stem extension (φ=1)96C2^2.50(S3xQ8)192,552
C22.51(S3×Q8) = (C2×C12).56D4central stem extension (φ=1)96C2^2.51(S3xQ8)192,553
C22.52(S3×Q8) = C22.52(S3×Q8)central stem extension (φ=1)192C2^2.52(S3xQ8)192,789
C22.53(S3×Q8) = (C22×Q8)⋊9S3central stem extension (φ=1)96C2^2.53(S3xQ8)192,790

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