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Extensions 1→N→G→Q→1 with N=C28 and Q=C4⋊C4

Direct product G=N×Q with N=C28 and Q=C4⋊C4
dρLabelID
C4⋊C4×C28448C4:C4xC28448,786

Semidirect products G=N:Q with N=C28 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C28⋊1(C4⋊C4) = C28⋊(C4⋊C4)φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28:1(C4:C4)448,507
C28⋊2(C4⋊C4) = (C4×Dic7)⋊8C4φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28:2(C4:C4)448,510
C28⋊3(C4⋊C4) = C4⋊(C4⋊Dic7)φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28:3(C4:C4)448,519
C28⋊4(C4⋊C4) = C28⋊4(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28:4(C4:C4)448,462
C28⋊5(C4⋊C4) = C42⋊8Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28:5(C4:C4)448,469
C28⋊6(C4⋊C4) = C4×Dic7⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28:6(C4:C4)448,465
C28⋊7(C4⋊C4) = C4×C4⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28:7(C4:C4)448,468
C28⋊8(C4⋊C4) = C7×C42⋊9C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28:8(C4:C4)448,792
C28⋊9(C4⋊C4) = C7×C23.65C23φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28:9(C4:C4)448,797

Non-split extensions G=N.Q with N=C28 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C28.1(C4⋊C4) = C56.Q8φ: C4⋊C4/C22 → C22 ⊆ Aut C281124C28.1(C4:C4)448,44
C28.2(C4⋊C4) = C8.4Dic14φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28.2(C4:C4)448,46
C28.3(C4⋊C4) = C8.5Dic14φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28.3(C4:C4)448,47
C28.4(C4⋊C4) = C8.7Dic14φ: C4⋊C4/C22 → C22 ⊆ Aut C282244C28.4(C4:C4)448,50
C28.5(C4⋊C4) = C8.Dic14φ: C4⋊C4/C22 → C22 ⊆ Aut C281124C28.5(C4:C4)448,51
C28.6(C4⋊C4) = C28.C42φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28.6(C4:C4)448,86
C28.7(C4⋊C4) = C28.(C4⋊C4)φ: C4⋊C4/C22 → C22 ⊆ Aut C28224C28.7(C4:C4)448,87
C28.8(C4⋊C4) = C28.2C42φ: C4⋊C4/C22 → C22 ⊆ Aut C28112C28.8(C4:C4)448,89
C28.9(C4⋊C4) = M4(2)⋊Dic7φ: C4⋊C4/C22 → C22 ⊆ Aut C28224C28.9(C4:C4)448,111
C28.10(C4⋊C4) = C28.3C42φ: C4⋊C4/C22 → C22 ⊆ Aut C28112C28.10(C4:C4)448,112
C28.11(C4⋊C4) = (C2×C56)⋊C4φ: C4⋊C4/C22 → C22 ⊆ Aut C281124C28.11(C4:C4)448,113
C28.12(C4⋊C4) = C23.9D28φ: C4⋊C4/C22 → C22 ⊆ Aut C281124C28.12(C4:C4)448,114
C28.13(C4⋊C4) = M4(2)⋊4Dic7φ: C4⋊C4/C22 → C22 ⊆ Aut C281124C28.13(C4:C4)448,116
C28.14(C4⋊C4) = C2×C28.Q8φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28.14(C4:C4)448,496
C28.15(C4⋊C4) = C2×C4.Dic14φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28.15(C4:C4)448,497
C28.16(C4⋊C4) = C4.Dic7⋊C4φ: C4⋊C4/C22 → C22 ⊆ Aut C28224C28.16(C4:C4)448,498
C28.17(C4⋊C4) = (C4×Dic7)⋊9C4φ: C4⋊C4/C22 → C22 ⊆ Aut C28448C28.17(C4:C4)448,511
C28.18(C4⋊C4) = C42.43D14φ: C4⋊C4/C22 → C22 ⊆ Aut C28224C28.18(C4:C4)448,533
C28.19(C4⋊C4) = Dic7⋊4M4(2)φ: C4⋊C4/C22 → C22 ⊆ Aut C28224C28.19(C4:C4)448,652
C28.20(C4⋊C4) = C28.439(C2×D4)φ: C4⋊C4/C22 → C22 ⊆ Aut C28224C28.20(C4:C4)448,653
C28.21(C4⋊C4) = C23.47D28φ: C4⋊C4/C22 → C22 ⊆ Aut C28224C28.21(C4:C4)448,655
C28.22(C4⋊C4) = M4(2).Dic7φ: C4⋊C4/C22 → C22 ⊆ Aut C281124C28.22(C4:C4)448,659
C28.23(C4⋊C4) = C112⋊5C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.23(C4:C4)448,61
C28.24(C4⋊C4) = C112⋊6C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.24(C4:C4)448,62
C28.25(C4⋊C4) = C112.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C282242C28.25(C4:C4)448,63
C28.26(C4⋊C4) = C16⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.26(C4:C4)448,70
C28.27(C4⋊C4) = C28.8C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.27(C4:C4)448,80
C28.28(C4⋊C4) = C42⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.28(C4:C4)448,88
C28.29(C4⋊C4) = (C2×C28).Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.29(C4:C4)448,90
C28.30(C4⋊C4) = C28.9C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.30(C4:C4)448,108
C28.31(C4⋊C4) = C28⋊7M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.31(C4:C4)448,458
C28.32(C4⋊C4) = C42⋊9Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.32(C4:C4)448,470
C28.33(C4⋊C4) = C28.(C2×Q8)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.33(C4:C4)448,529
C28.34(C4⋊C4) = Dic7⋊C8⋊C2φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.34(C4:C4)448,636
C28.35(C4⋊C4) = C2×C8⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.35(C4:C4)448,638
C28.36(C4⋊C4) = C2×C56⋊1C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.36(C4:C4)448,639
C28.37(C4⋊C4) = C23.Dic14φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.37(C4:C4)448,658
C28.38(C4⋊C4) = C28⋊C16φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.38(C4:C4)448,19
C28.39(C4⋊C4) = C56.16Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281122C28.39(C4:C4)448,20
C28.40(C4⋊C4) = Dic7⋊C16φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.40(C4:C4)448,58
C28.41(C4⋊C4) = C56.9Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.41(C4:C4)448,68
C28.42(C4⋊C4) = (C2×C28)⋊3C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.42(C4:C4)448,81
C28.43(C4⋊C4) = (C2×C56)⋊5C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.43(C4:C4)448,107
C28.44(C4⋊C4) = C2×C28⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.44(C4:C4)448,457
C28.45(C4⋊C4) = C28.45(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.45(C4:C4)448,532
C28.46(C4⋊C4) = C2×Dic7⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.46(C4:C4)448,633
C28.47(C4⋊C4) = C23.22D28φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.47(C4:C4)448,640
C28.48(C4⋊C4) = C2×C56.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.48(C4:C4)448,641
C28.49(C4⋊C4) = C2×C28.53D4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.49(C4:C4)448,657
C28.50(C4⋊C4) = C7×C4.9C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.50(C4:C4)448,141
C28.51(C4⋊C4) = C7×C42⋊6C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.51(C4:C4)448,143
C28.52(C4⋊C4) = C7×C22.4Q16φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.52(C4:C4)448,144
C28.53(C4⋊C4) = C7×C22.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.53(C4:C4)448,147
C28.54(C4⋊C4) = C7×M4(2)⋊4C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.54(C4:C4)448,148
C28.55(C4⋊C4) = C7×C8.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.55(C4:C4)448,169
C28.56(C4⋊C4) = C7×C16⋊3C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.56(C4:C4)448,170
C28.57(C4⋊C4) = C7×C16⋊4C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.57(C4:C4)448,171
C28.58(C4⋊C4) = C7×C8.4Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C282242C28.58(C4:C4)448,172
C28.59(C4⋊C4) = C7×C42⋊8C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.59(C4:C4)448,790
C28.60(C4⋊C4) = C7×C4⋊M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.60(C4:C4)448,831
C28.61(C4⋊C4) = C7×C42.6C22φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.61(C4:C4)448,832
C28.62(C4⋊C4) = C14×C4.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.62(C4:C4)448,833
C28.63(C4⋊C4) = C14×C2.D8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.63(C4:C4)448,834
C28.64(C4⋊C4) = C7×M4(2)⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.64(C4:C4)448,836
C28.65(C4⋊C4) = C7×M4(2).C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.65(C4:C4)448,838
C28.66(C4⋊C4) = C7×C22.7C42central extension (φ=1)448C28.66(C4:C4)448,140
C28.67(C4⋊C4) = C7×C4⋊C16central extension (φ=1)448C28.67(C4:C4)448,167
C28.68(C4⋊C4) = C7×C8.C8central extension (φ=1)1122C28.68(C4:C4)448,168
C28.69(C4⋊C4) = C14×C4⋊C8central extension (φ=1)448C28.69(C4:C4)448,830
C28.70(C4⋊C4) = C7×C23.25D4central extension (φ=1)224C28.70(C4:C4)448,835
C28.71(C4⋊C4) = C14×C8.C4central extension (φ=1)224C28.71(C4:C4)448,837

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