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Extensions 1→N→G→Q→1 with N=C44 and Q=C2×C4

Direct product G=N×Q with N=C44 and Q=C2×C4
dρLabelID
C2×C4×C44352C2xC4xC44352,149

Semidirect products G=N:Q with N=C44 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C44⋊1(C2×C4) = C4⋊C4×D11φ: C2×C4/C2 → C22 ⊆ Aut C44176C44:1(C2xC4)352,86
C44⋊2(C2×C4) = D44⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C44176C44:2(C2xC4)352,88
C44⋊3(C2×C4) = D4×Dic11φ: C2×C4/C2 → C22 ⊆ Aut C44176C44:3(C2xC4)352,129
C44⋊4(C2×C4) = C4×D44φ: C2×C4/C4 → C2 ⊆ Aut C44176C44:4(C2xC4)352,68
C44⋊5(C2×C4) = C42×D11φ: C2×C4/C4 → C2 ⊆ Aut C44176C44:5(C2xC4)352,66
C44⋊6(C2×C4) = D4×C44φ: C2×C4/C4 → C2 ⊆ Aut C44176C44:6(C2xC4)352,153
C44⋊7(C2×C4) = C2×C44⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C44352C44:7(C2xC4)352,120
C44⋊8(C2×C4) = C2×C4×Dic11φ: C2×C4/C22 → C2 ⊆ Aut C44352C44:8(C2xC4)352,117
C44⋊9(C2×C4) = C4⋊C4×C22φ: C2×C4/C22 → C2 ⊆ Aut C44352C44:9(C2xC4)352,151

Non-split extensions G=N.Q with N=C44 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C44.1(C2×C4) = C44.Q8φ: C2×C4/C2 → C22 ⊆ Aut C44352C44.1(C2xC4)352,13
C44.2(C2×C4) = C4.Dic22φ: C2×C4/C2 → C22 ⊆ Aut C44352C44.2(C2xC4)352,14
C44.3(C2×C4) = C22.D8φ: C2×C4/C2 → C22 ⊆ Aut C44176C44.3(C2xC4)352,15
C44.4(C2×C4) = C22.Q16φ: C2×C4/C2 → C22 ⊆ Aut C44352C44.4(C2xC4)352,16
C44.5(C2×C4) = C44.53D4φ: C2×C4/C2 → C22 ⊆ Aut C441764C44.5(C2xC4)352,28
C44.6(C2×C4) = D44⋊4C4φ: C2×C4/C2 → C22 ⊆ Aut C44884C44.6(C2xC4)352,31
C44.7(C2×C4) = D4⋊Dic11φ: C2×C4/C2 → C22 ⊆ Aut C44176C44.7(C2xC4)352,38
C44.8(C2×C4) = Q8⋊Dic11φ: C2×C4/C2 → C22 ⊆ Aut C44352C44.8(C2xC4)352,41
C44.9(C2×C4) = C44.56D4φ: C2×C4/C2 → C22 ⊆ Aut C44884C44.9(C2xC4)352,43
C44.10(C2×C4) = Dic22⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C44352C44.10(C2xC4)352,82
C44.11(C2×C4) = C4⋊C4⋊7D11φ: C2×C4/C2 → C22 ⊆ Aut C44176C44.11(C2xC4)352,87
C44.12(C2×C4) = M4(2)×D11φ: C2×C4/C2 → C22 ⊆ Aut C44884C44.12(C2xC4)352,101
C44.13(C2×C4) = D44.C4φ: C2×C4/C2 → C22 ⊆ Aut C441764C44.13(C2xC4)352,102
C44.14(C2×C4) = Q8×Dic11φ: C2×C4/C2 → C22 ⊆ Aut C44352C44.14(C2xC4)352,140
C44.15(C2×C4) = Q8.Dic11φ: C2×C4/C2 → C22 ⊆ Aut C441764C44.15(C2xC4)352,143
C44.16(C2×C4) = D44⋊1C4φ: C2×C4/C4 → C2 ⊆ Aut C44882C44.16(C2xC4)352,11
C44.17(C2×C4) = C44.44D4φ: C2×C4/C4 → C2 ⊆ Aut C44352C44.17(C2xC4)352,22
C44.18(C2×C4) = C2.D88φ: C2×C4/C4 → C2 ⊆ Aut C44176C44.18(C2xC4)352,27
C44.19(C2×C4) = C4×Dic22φ: C2×C4/C4 → C2 ⊆ Aut C44352C44.19(C2xC4)352,63
C44.20(C2×C4) = D44.2C4φ: C2×C4/C4 → C2 ⊆ Aut C441762C44.20(C2xC4)352,96
C44.21(C2×C4) = C16×D11φ: C2×C4/C4 → C2 ⊆ Aut C441762C44.21(C2xC4)352,3
C44.22(C2×C4) = D22.C8φ: C2×C4/C4 → C2 ⊆ Aut C441762C44.22(C2xC4)352,4
C44.23(C2×C4) = C4×C11⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C44352C44.23(C2xC4)352,8
C44.24(C2×C4) = C42.D11φ: C2×C4/C4 → C2 ⊆ Aut C44352C44.24(C2xC4)352,9
C44.25(C2×C4) = C42⋊D11φ: C2×C4/C4 → C2 ⊆ Aut C44176C44.25(C2xC4)352,67
C44.26(C2×C4) = C2×C8×D11φ: C2×C4/C4 → C2 ⊆ Aut C44176C44.26(C2xC4)352,94
C44.27(C2×C4) = C2×C88⋊C2φ: C2×C4/C4 → C2 ⊆ Aut C44176C44.27(C2xC4)352,95
C44.28(C2×C4) = C11×D4⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C44176C44.28(C2xC4)352,51
C44.29(C2×C4) = C11×Q8⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C44352C44.29(C2xC4)352,52
C44.30(C2×C4) = C11×C4≀C2φ: C2×C4/C4 → C2 ⊆ Aut C44882C44.30(C2xC4)352,53
C44.31(C2×C4) = Q8×C44φ: C2×C4/C4 → C2 ⊆ Aut C44352C44.31(C2xC4)352,154
C44.32(C2×C4) = C11×C8○D4φ: C2×C4/C4 → C2 ⊆ Aut C441762C44.32(C2xC4)352,166
C44.33(C2×C4) = C44.4Q8φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.33(C2xC4)352,23
C44.34(C2×C4) = C44.5Q8φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.34(C2xC4)352,24
C44.35(C2×C4) = C88.C4φ: C2×C4/C22 → C2 ⊆ Aut C441762C44.35(C2xC4)352,25
C44.36(C2×C4) = C2×C44.C4φ: C2×C4/C22 → C2 ⊆ Aut C44176C44.36(C2xC4)352,116
C44.37(C2×C4) = C23.21D22φ: C2×C4/C22 → C2 ⊆ Aut C44176C44.37(C2xC4)352,121
C44.38(C2×C4) = C2×C11⋊C16φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.38(C2xC4)352,17
C44.39(C2×C4) = C44.C8φ: C2×C4/C22 → C2 ⊆ Aut C441762C44.39(C2xC4)352,18
C44.40(C2×C4) = C8×Dic11φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.40(C2xC4)352,19
C44.41(C2×C4) = C88⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.41(C2xC4)352,21
C44.42(C2×C4) = C22×C11⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.42(C2xC4)352,115
C44.43(C2×C4) = C11×C4.Q8φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.43(C2xC4)352,55
C44.44(C2×C4) = C11×C2.D8φ: C2×C4/C22 → C2 ⊆ Aut C44352C44.44(C2xC4)352,56
C44.45(C2×C4) = C11×C8.C4φ: C2×C4/C22 → C2 ⊆ Aut C441762C44.45(C2xC4)352,57
C44.46(C2×C4) = C11×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Aut C44176C44.46(C2xC4)352,152
C44.47(C2×C4) = M4(2)×C22φ: C2×C4/C22 → C2 ⊆ Aut C44176C44.47(C2xC4)352,165
C44.48(C2×C4) = C11×C8⋊C4central extension (φ=1)352C44.48(C2xC4)352,46
C44.49(C2×C4) = C11×M5(2)central extension (φ=1)1762C44.49(C2xC4)352,59

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