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Extensions 1→N→G→Q→1 with N=C6 and Q=C32⋊7D4

Direct product G=N×Q with N=C6 and Q=C32⋊7D4
dρLabelID
C6×C32⋊7D472C6xC3^2:7D4432,719

Semidirect products G=N:Q with N=C6 and Q=C32⋊7D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C32⋊7D4) = C2×C33⋊7D4φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C672C6:1(C3^2:7D4)432,681
C6⋊2(C32⋊7D4) = C2×C33⋊6D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C6144C6:2(C3^2:7D4)432,680
C6⋊3(C32⋊7D4) = C2×C33⋊15D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6:3(C3^2:7D4)432,729

Non-split extensions G=N.Q with N=C6 and Q=C32⋊7D4
extensionφ:Q→Aut NdρLabelID
C6.1(C32⋊7D4) = C33⋊7D8φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C672C6.1(C3^2:7D4)432,437
C6.2(C32⋊7D4) = C33⋊14SD16φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C6144C6.2(C3^2:7D4)432,441
C6.3(C32⋊7D4) = C33⋊15SD16φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C672C6.3(C3^2:7D4)432,442
C6.4(C32⋊7D4) = C33⋊7Q16φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C6144C6.4(C3^2:7D4)432,446
C6.5(C32⋊7D4) = C62.77D6φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C6144C6.5(C3^2:7D4)432,449
C6.6(C32⋊7D4) = C62.79D6φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C672C6.6(C3^2:7D4)432,451
C6.7(C32⋊7D4) = C62.82D6φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C6144C6.7(C3^2:7D4)432,454
C6.8(C32⋊7D4) = C33⋊6D8φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C6144C6.8(C3^2:7D4)432,436
C6.9(C32⋊7D4) = C33⋊12SD16φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C6144C6.9(C3^2:7D4)432,439
C6.10(C32⋊7D4) = C33⋊13SD16φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C6144C6.10(C3^2:7D4)432,440
C6.11(C32⋊7D4) = C33⋊6Q16φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C6144C6.11(C3^2:7D4)432,445
C6.12(C32⋊7D4) = C62.78D6φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C6144C6.12(C3^2:7D4)432,450
C6.13(C32⋊7D4) = C62.81D6φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C6144C6.13(C3^2:7D4)432,453
C6.14(C32⋊7D4) = C6.Dic18φ: C32⋊7D4/C62 → C2 ⊆ Aut C6432C6.14(C3^2:7D4)432,181
C6.15(C32⋊7D4) = C6.11D36φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.15(C3^2:7D4)432,183
C6.16(C32⋊7D4) = C36.17D6φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.16(C3^2:7D4)432,190
C6.17(C32⋊7D4) = C36.18D6φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.17(C3^2:7D4)432,191
C6.18(C32⋊7D4) = C36.19D6φ: C32⋊7D4/C62 → C2 ⊆ Aut C6432C6.18(C3^2:7D4)432,194
C6.19(C32⋊7D4) = C36.20D6φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.19(C3^2:7D4)432,195
C6.20(C32⋊7D4) = C62.127D6φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.20(C3^2:7D4)432,198
C6.21(C32⋊7D4) = C2×C6.D18φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.21(C3^2:7D4)432,397
C6.22(C32⋊7D4) = C62.146D6φ: C32⋊7D4/C62 → C2 ⊆ Aut C6432C6.22(C3^2:7D4)432,504
C6.23(C32⋊7D4) = C62.148D6φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.23(C3^2:7D4)432,506
C6.24(C32⋊7D4) = C33⋊15D8φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.24(C3^2:7D4)432,507
C6.25(C32⋊7D4) = C33⋊24SD16φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.25(C3^2:7D4)432,508
C6.26(C32⋊7D4) = C33⋊27SD16φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.26(C3^2:7D4)432,509
C6.27(C32⋊7D4) = C33⋊15Q16φ: C32⋊7D4/C62 → C2 ⊆ Aut C6432C6.27(C3^2:7D4)432,510
C6.28(C32⋊7D4) = C63.C2φ: C32⋊7D4/C62 → C2 ⊆ Aut C6216C6.28(C3^2:7D4)432,511
C6.29(C32⋊7D4) = C62.29D6central extension (φ=1)144C6.29(C3^2:7D4)432,187
C6.30(C32⋊7D4) = C62.31D6central extension (φ=1)72C6.30(C3^2:7D4)432,189
C6.31(C32⋊7D4) = C62⋊4Dic3central extension (φ=1)72C6.31(C3^2:7D4)432,199
C6.32(C32⋊7D4) = C2×He3⋊7D4central extension (φ=1)72C6.32(C3^2:7D4)432,399
C6.33(C32⋊7D4) = C3×C6.Dic6central extension (φ=1)144C6.33(C3^2:7D4)432,488
C6.34(C32⋊7D4) = C3×C6.11D12central extension (φ=1)144C6.34(C3^2:7D4)432,490
C6.35(C32⋊7D4) = C3×C32⋊7D8central extension (φ=1)72C6.35(C3^2:7D4)432,491
C6.36(C32⋊7D4) = C3×C32⋊9SD16central extension (φ=1)72C6.36(C3^2:7D4)432,492
C6.37(C32⋊7D4) = C3×C32⋊11SD16central extension (φ=1)144C6.37(C3^2:7D4)432,493
C6.38(C32⋊7D4) = C3×C32⋊7Q16central extension (φ=1)144C6.38(C3^2:7D4)432,494
C6.39(C32⋊7D4) = C3×C62⋊5C4central extension (φ=1)72C6.39(C3^2:7D4)432,495
C6.40(C32⋊7D4) = He3⋊7D8central stem extension (φ=1)726C6.40(C3^2:7D4)432,192
C6.41(C32⋊7D4) = He3⋊9SD16central stem extension (φ=1)726C6.41(C3^2:7D4)432,193
C6.42(C32⋊7D4) = He3⋊11SD16central stem extension (φ=1)726C6.42(C3^2:7D4)432,196
C6.43(C32⋊7D4) = He3⋊7Q16central stem extension (φ=1)1446C6.43(C3^2:7D4)432,197

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