# Extensions 1→N→G→Q→1 with N=C36 and Q=C2×C4

Direct product G=N×Q with N=C36 and Q=C2×C4
dρLabelID
C2×C4×C36288C2xC4xC36288,164

Semidirect products G=N:Q with N=C36 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C361(C2×C4) = C4⋊C4×D9φ: C2×C4/C2C22 ⊆ Aut C36144C36:1(C2xC4)288,101
C362(C2×C4) = D36⋊C4φ: C2×C4/C2C22 ⊆ Aut C36144C36:2(C2xC4)288,103
C363(C2×C4) = D4×Dic9φ: C2×C4/C2C22 ⊆ Aut C36144C36:3(C2xC4)288,144
C364(C2×C4) = C4×D36φ: C2×C4/C4C2 ⊆ Aut C36144C36:4(C2xC4)288,83
C365(C2×C4) = C42×D9φ: C2×C4/C4C2 ⊆ Aut C36144C36:5(C2xC4)288,81
C366(C2×C4) = D4×C36φ: C2×C4/C4C2 ⊆ Aut C36144C36:6(C2xC4)288,168
C367(C2×C4) = C2×C4⋊Dic9φ: C2×C4/C22C2 ⊆ Aut C36288C36:7(C2xC4)288,135
C368(C2×C4) = C2×C4×Dic9φ: C2×C4/C22C2 ⊆ Aut C36288C36:8(C2xC4)288,132
C369(C2×C4) = C4⋊C4×C18φ: C2×C4/C22C2 ⊆ Aut C36288C36:9(C2xC4)288,166

Non-split extensions G=N.Q with N=C36 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C36.1(C2×C4) = C36.Q8φ: C2×C4/C2C22 ⊆ Aut C36288C36.1(C2xC4)288,14
C36.2(C2×C4) = C4.Dic18φ: C2×C4/C2C22 ⊆ Aut C36288C36.2(C2xC4)288,15
C36.3(C2×C4) = C18.Q16φ: C2×C4/C2C22 ⊆ Aut C36288C36.3(C2xC4)288,16
C36.4(C2×C4) = C18.D8φ: C2×C4/C2C22 ⊆ Aut C36144C36.4(C2xC4)288,17
C36.5(C2×C4) = C36.53D4φ: C2×C4/C2C22 ⊆ Aut C361444C36.5(C2xC4)288,29
C36.6(C2×C4) = Dic18⋊C4φ: C2×C4/C2C22 ⊆ Aut C36724C36.6(C2xC4)288,32
C36.7(C2×C4) = D4⋊Dic9φ: C2×C4/C2C22 ⊆ Aut C36144C36.7(C2xC4)288,40
C36.8(C2×C4) = Q82Dic9φ: C2×C4/C2C22 ⊆ Aut C36288C36.8(C2xC4)288,43
C36.9(C2×C4) = Q83Dic9φ: C2×C4/C2C22 ⊆ Aut C36724C36.9(C2xC4)288,44
C36.10(C2×C4) = Dic93Q8φ: C2×C4/C2C22 ⊆ Aut C36288C36.10(C2xC4)288,97
C36.11(C2×C4) = C4⋊C47D9φ: C2×C4/C2C22 ⊆ Aut C36144C36.11(C2xC4)288,102
C36.12(C2×C4) = M4(2)×D9φ: C2×C4/C2C22 ⊆ Aut C36724C36.12(C2xC4)288,116
C36.13(C2×C4) = D36.C4φ: C2×C4/C2C22 ⊆ Aut C361444C36.13(C2xC4)288,117
C36.14(C2×C4) = Q8×Dic9φ: C2×C4/C2C22 ⊆ Aut C36288C36.14(C2xC4)288,155
C36.15(C2×C4) = D4.Dic9φ: C2×C4/C2C22 ⊆ Aut C361444C36.15(C2xC4)288,158
C36.16(C2×C4) = C424D9φ: C2×C4/C4C2 ⊆ Aut C36722C36.16(C2xC4)288,12
C36.17(C2×C4) = C36.45D4φ: C2×C4/C4C2 ⊆ Aut C36288C36.17(C2xC4)288,24
C36.18(C2×C4) = C2.D72φ: C2×C4/C4C2 ⊆ Aut C36144C36.18(C2xC4)288,28
C36.19(C2×C4) = C4×Dic18φ: C2×C4/C4C2 ⊆ Aut C36288C36.19(C2xC4)288,78
C36.20(C2×C4) = D36.2C4φ: C2×C4/C4C2 ⊆ Aut C361442C36.20(C2xC4)288,112
C36.21(C2×C4) = C16×D9φ: C2×C4/C4C2 ⊆ Aut C361442C36.21(C2xC4)288,4
C36.22(C2×C4) = C16⋊D9φ: C2×C4/C4C2 ⊆ Aut C361442C36.22(C2xC4)288,5
C36.23(C2×C4) = C4×C9⋊C8φ: C2×C4/C4C2 ⊆ Aut C36288C36.23(C2xC4)288,9
C36.24(C2×C4) = C42.D9φ: C2×C4/C4C2 ⊆ Aut C36288C36.24(C2xC4)288,10
C36.25(C2×C4) = C8×Dic9φ: C2×C4/C4C2 ⊆ Aut C36288C36.25(C2xC4)288,21
C36.26(C2×C4) = C72⋊C4φ: C2×C4/C4C2 ⊆ Aut C36288C36.26(C2xC4)288,23
C36.27(C2×C4) = C422D9φ: C2×C4/C4C2 ⊆ Aut C36144C36.27(C2xC4)288,82
C36.28(C2×C4) = C2×C8×D9φ: C2×C4/C4C2 ⊆ Aut C36144C36.28(C2xC4)288,110
C36.29(C2×C4) = C2×C8⋊D9φ: C2×C4/C4C2 ⊆ Aut C36144C36.29(C2xC4)288,111
C36.30(C2×C4) = C9×D4⋊C4φ: C2×C4/C4C2 ⊆ Aut C36144C36.30(C2xC4)288,52
C36.31(C2×C4) = C9×Q8⋊C4φ: C2×C4/C4C2 ⊆ Aut C36288C36.31(C2xC4)288,53
C36.32(C2×C4) = C9×C4≀C2φ: C2×C4/C4C2 ⊆ Aut C36722C36.32(C2xC4)288,54
C36.33(C2×C4) = Q8×C36φ: C2×C4/C4C2 ⊆ Aut C36288C36.33(C2xC4)288,169
C36.34(C2×C4) = C9×C8○D4φ: C2×C4/C4C2 ⊆ Aut C361442C36.34(C2xC4)288,181
C36.35(C2×C4) = C72.C4φ: C2×C4/C22C2 ⊆ Aut C361442C36.35(C2xC4)288,20
C36.36(C2×C4) = C8⋊Dic9φ: C2×C4/C22C2 ⊆ Aut C36288C36.36(C2xC4)288,25
C36.37(C2×C4) = C721C4φ: C2×C4/C22C2 ⊆ Aut C36288C36.37(C2xC4)288,26
C36.38(C2×C4) = C2×C4.Dic9φ: C2×C4/C22C2 ⊆ Aut C36144C36.38(C2xC4)288,131
C36.39(C2×C4) = C23.26D18φ: C2×C4/C22C2 ⊆ Aut C36144C36.39(C2xC4)288,136
C36.40(C2×C4) = C2×C9⋊C16φ: C2×C4/C22C2 ⊆ Aut C36288C36.40(C2xC4)288,18
C36.41(C2×C4) = C36.C8φ: C2×C4/C22C2 ⊆ Aut C361442C36.41(C2xC4)288,19
C36.42(C2×C4) = C22×C9⋊C8φ: C2×C4/C22C2 ⊆ Aut C36288C36.42(C2xC4)288,130
C36.43(C2×C4) = C9×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C36288C36.43(C2xC4)288,56
C36.44(C2×C4) = C9×C2.D8φ: C2×C4/C22C2 ⊆ Aut C36288C36.44(C2xC4)288,57
C36.45(C2×C4) = C9×C8.C4φ: C2×C4/C22C2 ⊆ Aut C361442C36.45(C2xC4)288,58
C36.46(C2×C4) = C9×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C36144C36.46(C2xC4)288,167
C36.47(C2×C4) = M4(2)×C18φ: C2×C4/C22C2 ⊆ Aut C36144C36.47(C2xC4)288,180
C36.48(C2×C4) = C9×C8⋊C4central extension (φ=1)288C36.48(C2xC4)288,47
C36.49(C2×C4) = C9×M5(2)central extension (φ=1)1442C36.49(C2xC4)288,60

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