# Extensions 1→N→G→Q→1 with N=C28 and Q=C42

Direct product G=N×Q with N=C28 and Q=C42
dρLabelID
C42×C28448C4^2xC28448,782

Semidirect products G=N:Q with N=C28 and Q=C42
extensionφ:Q→Aut NdρLabelID
C28⋊C42 = C4⋊C4×Dic7φ: C42/C22C22 ⊆ Aut C28448C28:C4^2448,509
C282C42 = C4×C4⋊Dic7φ: C42/C2×C4C2 ⊆ Aut C28448C28:2C4^2448,468
C283C42 = C42×Dic7φ: C42/C2×C4C2 ⊆ Aut C28448C28:3C4^2448,464
C284C42 = C4⋊C4×C28φ: C42/C2×C4C2 ⊆ Aut C28448C28:4C4^2448,786

Non-split extensions G=N.Q with N=C28 and Q=C42
extensionφ:Q→Aut NdρLabelID
C28.1C42 = C28.C42φ: C42/C22C22 ⊆ Aut C28448C28.1C4^2448,86
C28.2C42 = C28.2C42φ: C42/C22C22 ⊆ Aut C28112C28.2C4^2448,89
C28.3C42 = C28.3C42φ: C42/C22C22 ⊆ Aut C28112C28.3C4^2448,112
C28.4C42 = C28.4C42φ: C42/C22C22 ⊆ Aut C28224C28.4C4^2448,115
C28.5C42 = C28.5C42φ: C42/C22C22 ⊆ Aut C28224C28.5C4^2448,531
C28.6C42 = M4(2)×Dic7φ: C42/C22C22 ⊆ Aut C28224C28.6C4^2448,651
C28.7C42 = C28.7C42φ: C42/C22C22 ⊆ Aut C28224C28.7C4^2448,656
C28.8C42 = C28.8C42φ: C42/C2×C4C2 ⊆ Aut C28112C28.8C4^2448,80
C28.9C42 = C28.9C42φ: C42/C2×C4C2 ⊆ Aut C28448C28.9C4^2448,108
C28.10C42 = C28.10C42φ: C42/C2×C4C2 ⊆ Aut C28224C28.10C4^2448,109
C28.11C42 = C4×C4.Dic7φ: C42/C2×C4C2 ⊆ Aut C28224C28.11C4^2448,456
C28.12C42 = C28.12C42φ: C42/C2×C4C2 ⊆ Aut C28224C28.12C4^2448,635
C28.13C42 = C4×C7⋊C16φ: C42/C2×C4C2 ⊆ Aut C28448C28.13C4^2448,17
C28.14C42 = C56.C8φ: C42/C2×C4C2 ⊆ Aut C28448C28.14C4^2448,18
C28.15C42 = C28.15C42φ: C42/C2×C4C2 ⊆ Aut C281124C28.15C4^2448,23
C28.16C42 = C16×Dic7φ: C42/C2×C4C2 ⊆ Aut C28448C28.16C4^2448,57
C28.17C42 = C1129C4φ: C42/C2×C4C2 ⊆ Aut C28448C28.17C4^2448,59
C28.18C42 = C112⋊C4φ: C42/C2×C4C2 ⊆ Aut C281124C28.18C4^2448,69
C28.19C42 = C42⋊Dic7φ: C42/C2×C4C2 ⊆ Aut C281124C28.19C4^2448,88
C28.20C42 = C23.9D28φ: C42/C2×C4C2 ⊆ Aut C281124C28.20C4^2448,114
C28.21C42 = C28.21C42φ: C42/C2×C4C2 ⊆ Aut C281124C28.21C4^2448,117
C28.22C42 = C2×C4×C7⋊C8φ: C42/C2×C4C2 ⊆ Aut C28448C28.22C4^2448,454
C28.23C42 = C2×C42.D7φ: C42/C2×C4C2 ⊆ Aut C28448C28.23C4^2448,455
C28.24C42 = C424Dic7φ: C42/C2×C4C2 ⊆ Aut C28448C28.24C4^2448,466
C28.25C42 = C2×C8×Dic7φ: C42/C2×C4C2 ⊆ Aut C28448C28.25C4^2448,632
C28.26C42 = C2×C56⋊C4φ: C42/C2×C4C2 ⊆ Aut C28448C28.26C4^2448,634
C28.27C42 = C7×C426C4φ: C42/C2×C4C2 ⊆ Aut C28112C28.27C4^2448,143
C28.28C42 = C7×C22.4Q16φ: C42/C2×C4C2 ⊆ Aut C28448C28.28C4^2448,144
C28.29C42 = C7×C4.C42φ: C42/C2×C4C2 ⊆ Aut C28224C28.29C4^2448,145
C28.30C42 = M4(2)×C28φ: C42/C2×C4C2 ⊆ Aut C28224C28.30C4^2448,812
C28.31C42 = C7×C82M4(2)φ: C42/C2×C4C2 ⊆ Aut C28224C28.31C4^2448,813
C28.32C42 = C7×C4.9C42central extension (φ=1)1124C28.32C4^2448,141
C28.33C42 = C7×C4.10C42central extension (φ=1)1124C28.33C4^2448,142
C28.34C42 = C7×C165C4central extension (φ=1)448C28.34C4^2448,150
C28.35C42 = C7×C16⋊C4central extension (φ=1)1124C28.35C4^2448,151
C28.36C42 = C7×C424C4central extension (φ=1)448C28.36C4^2448,784
C28.37C42 = C14×C8⋊C4central extension (φ=1)448C28.37C4^2448,811

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