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Extensions 1→N→G→Q→1 with N=C28 and Q=C2×C4

Direct product G=N×Q with N=C28 and Q=C2×C4
dρLabelID
C2×C4×C28224C2xC4xC28224,149

Semidirect products G=N:Q with N=C28 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C28⋊1(C2×C4) = D7×C4⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C28112C28:1(C2xC4)224,86
C28⋊2(C2×C4) = D28⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C28112C28:2(C2xC4)224,88
C28⋊3(C2×C4) = D4×Dic7φ: C2×C4/C2 → C22 ⊆ Aut C28112C28:3(C2xC4)224,129
C28⋊4(C2×C4) = C4×D28φ: C2×C4/C4 → C2 ⊆ Aut C28112C28:4(C2xC4)224,68
C28⋊5(C2×C4) = D7×C42φ: C2×C4/C4 → C2 ⊆ Aut C28112C28:5(C2xC4)224,66
C28⋊6(C2×C4) = D4×C28φ: C2×C4/C4 → C2 ⊆ Aut C28112C28:6(C2xC4)224,153
C28⋊7(C2×C4) = C2×C4⋊Dic7φ: C2×C4/C22 → C2 ⊆ Aut C28224C28:7(C2xC4)224,120
C28⋊8(C2×C4) = C2×C4×Dic7φ: C2×C4/C22 → C2 ⊆ Aut C28224C28:8(C2xC4)224,117
C28⋊9(C2×C4) = C14×C4⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C28224C28:9(C2xC4)224,151

Non-split extensions G=N.Q with N=C28 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C28.1(C2×C4) = C28.Q8φ: C2×C4/C2 → C22 ⊆ Aut C28224C28.1(C2xC4)224,13
C28.2(C2×C4) = C4.Dic14φ: C2×C4/C2 → C22 ⊆ Aut C28224C28.2(C2xC4)224,14
C28.3(C2×C4) = C14.D8φ: C2×C4/C2 → C22 ⊆ Aut C28112C28.3(C2xC4)224,15
C28.4(C2×C4) = C14.Q16φ: C2×C4/C2 → C22 ⊆ Aut C28224C28.4(C2xC4)224,16
C28.5(C2×C4) = C28.53D4φ: C2×C4/C2 → C22 ⊆ Aut C281124C28.5(C2xC4)224,28
C28.6(C2×C4) = D28⋊4C4φ: C2×C4/C2 → C22 ⊆ Aut C28564C28.6(C2xC4)224,31
C28.7(C2×C4) = D4⋊Dic7φ: C2×C4/C2 → C22 ⊆ Aut C28112C28.7(C2xC4)224,38
C28.8(C2×C4) = Q8⋊Dic7φ: C2×C4/C2 → C22 ⊆ Aut C28224C28.8(C2xC4)224,41
C28.9(C2×C4) = D4⋊2Dic7φ: C2×C4/C2 → C22 ⊆ Aut C28564C28.9(C2xC4)224,43
C28.10(C2×C4) = Dic7⋊3Q8φ: C2×C4/C2 → C22 ⊆ Aut C28224C28.10(C2xC4)224,82
C28.11(C2×C4) = C4⋊C4⋊7D7φ: C2×C4/C2 → C22 ⊆ Aut C28112C28.11(C2xC4)224,87
C28.12(C2×C4) = D7×M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C28564C28.12(C2xC4)224,101
C28.13(C2×C4) = D28.C4φ: C2×C4/C2 → C22 ⊆ Aut C281124C28.13(C2xC4)224,102
C28.14(C2×C4) = Q8×Dic7φ: C2×C4/C2 → C22 ⊆ Aut C28224C28.14(C2xC4)224,140
C28.15(C2×C4) = Q8.Dic7φ: C2×C4/C2 → C22 ⊆ Aut C281124C28.15(C2xC4)224,143
C28.16(C2×C4) = Dic14⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C28562C28.16(C2xC4)224,11
C28.17(C2×C4) = C28.44D4φ: C2×C4/C4 → C2 ⊆ Aut C28224C28.17(C2xC4)224,22
C28.18(C2×C4) = C2.D56φ: C2×C4/C4 → C2 ⊆ Aut C28112C28.18(C2xC4)224,27
C28.19(C2×C4) = C4×Dic14φ: C2×C4/C4 → C2 ⊆ Aut C28224C28.19(C2xC4)224,63
C28.20(C2×C4) = D28.2C4φ: C2×C4/C4 → C2 ⊆ Aut C281122C28.20(C2xC4)224,96
C28.21(C2×C4) = D7×C16φ: C2×C4/C4 → C2 ⊆ Aut C281122C28.21(C2xC4)224,3
C28.22(C2×C4) = C16⋊D7φ: C2×C4/C4 → C2 ⊆ Aut C281122C28.22(C2xC4)224,4
C28.23(C2×C4) = C4×C7⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C28224C28.23(C2xC4)224,8
C28.24(C2×C4) = C42.D7φ: C2×C4/C4 → C2 ⊆ Aut C28224C28.24(C2xC4)224,9
C28.25(C2×C4) = C42⋊D7φ: C2×C4/C4 → C2 ⊆ Aut C28112C28.25(C2xC4)224,67
C28.26(C2×C4) = D7×C2×C8φ: C2×C4/C4 → C2 ⊆ Aut C28112C28.26(C2xC4)224,94
C28.27(C2×C4) = C2×C8⋊D7φ: C2×C4/C4 → C2 ⊆ Aut C28112C28.27(C2xC4)224,95
C28.28(C2×C4) = C7×D4⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C28112C28.28(C2xC4)224,51
C28.29(C2×C4) = C7×Q8⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C28224C28.29(C2xC4)224,52
C28.30(C2×C4) = C7×C4≀C2φ: C2×C4/C4 → C2 ⊆ Aut C28562C28.30(C2xC4)224,53
C28.31(C2×C4) = Q8×C28φ: C2×C4/C4 → C2 ⊆ Aut C28224C28.31(C2xC4)224,154
C28.32(C2×C4) = C7×C8○D4φ: C2×C4/C4 → C2 ⊆ Aut C281122C28.32(C2xC4)224,166
C28.33(C2×C4) = C8⋊Dic7φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.33(C2xC4)224,23
C28.34(C2×C4) = C56⋊1C4φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.34(C2xC4)224,24
C28.35(C2×C4) = C56.C4φ: C2×C4/C22 → C2 ⊆ Aut C281122C28.35(C2xC4)224,25
C28.36(C2×C4) = C2×C4.Dic7φ: C2×C4/C22 → C2 ⊆ Aut C28112C28.36(C2xC4)224,116
C28.37(C2×C4) = C23.21D14φ: C2×C4/C22 → C2 ⊆ Aut C28112C28.37(C2xC4)224,121
C28.38(C2×C4) = C2×C7⋊C16φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.38(C2xC4)224,17
C28.39(C2×C4) = C28.C8φ: C2×C4/C22 → C2 ⊆ Aut C281122C28.39(C2xC4)224,18
C28.40(C2×C4) = C8×Dic7φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.40(C2xC4)224,19
C28.41(C2×C4) = C56⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.41(C2xC4)224,21
C28.42(C2×C4) = C22×C7⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.42(C2xC4)224,115
C28.43(C2×C4) = C7×C4.Q8φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.43(C2xC4)224,55
C28.44(C2×C4) = C7×C2.D8φ: C2×C4/C22 → C2 ⊆ Aut C28224C28.44(C2xC4)224,56
C28.45(C2×C4) = C7×C8.C4φ: C2×C4/C22 → C2 ⊆ Aut C281122C28.45(C2xC4)224,57
C28.46(C2×C4) = C7×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Aut C28112C28.46(C2xC4)224,152
C28.47(C2×C4) = C14×M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C28112C28.47(C2xC4)224,165
C28.48(C2×C4) = C7×C8⋊C4central extension (φ=1)224C28.48(C2xC4)224,46
C28.49(C2×C4) = C7×M5(2)central extension (φ=1)1122C28.49(C2xC4)224,59

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