# Extensions 1→N→G→Q→1 with N=C28 and Q=M4(2)

Direct product G=N×Q with N=C28 and Q=M4(2)
dρLabelID
M4(2)×C28224M4(2)xC28448,812

Semidirect products G=N:Q with N=C28 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C281M4(2) = C28⋊M4(2)φ: M4(2)/C4C22 ⊆ Aut C28224C28:1M4(2)448,371
C282M4(2) = C282M4(2)φ: M4(2)/C4C22 ⊆ Aut C28224C28:2M4(2)448,372
C283M4(2) = C283M4(2)φ: M4(2)/C4C22 ⊆ Aut C28224C28:3M4(2)448,546
C284M4(2) = C86D28φ: M4(2)/C8C2 ⊆ Aut C28224C28:4M4(2)448,222
C285M4(2) = C4×C8⋊D7φ: M4(2)/C8C2 ⊆ Aut C28224C28:5M4(2)448,221
C286M4(2) = C7×C86D4φ: M4(2)/C8C2 ⊆ Aut C28224C28:6M4(2)448,844
C287M4(2) = C287M4(2)φ: M4(2)/C2×C4C2 ⊆ Aut C28224C28:7M4(2)448,458
C288M4(2) = C4×C4.Dic7φ: M4(2)/C2×C4C2 ⊆ Aut C28224C28:8M4(2)448,456
C289M4(2) = C7×C4⋊M4(2)φ: M4(2)/C2×C4C2 ⊆ Aut C28224C28:9M4(2)448,831

Non-split extensions G=N.Q with N=C28 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C28.1M4(2) = C28.53D8φ: M4(2)/C4C22 ⊆ Aut C28448C28.1M4(2)448,36
C28.2M4(2) = C28.39SD16φ: M4(2)/C4C22 ⊆ Aut C28448C28.2M4(2)448,37
C28.3M4(2) = D282C8φ: M4(2)/C4C22 ⊆ Aut C28224C28.3M4(2)448,40
C28.4M4(2) = Dic142C8φ: M4(2)/C4C22 ⊆ Aut C28448C28.4M4(2)448,41
C28.5M4(2) = C112⋊C4φ: M4(2)/C4C22 ⊆ Aut C281124C28.5M4(2)448,69
C28.6M4(2) = M5(2)⋊D7φ: M4(2)/C4C22 ⊆ Aut C281124C28.6M4(2)448,71
C28.7M4(2) = C28.57D8φ: M4(2)/C4C22 ⊆ Aut C28224C28.7M4(2)448,91
C28.8M4(2) = C28.26Q16φ: M4(2)/C4C22 ⊆ Aut C28448C28.8M4(2)448,92
C28.9M4(2) = C28.M4(2)φ: M4(2)/C4C22 ⊆ Aut C28448C28.9M4(2)448,365
C28.10M4(2) = C42.202D14φ: M4(2)/C4C22 ⊆ Aut C28224C28.10M4(2)448,369
C28.11M4(2) = C42.210D14φ: M4(2)/C4C22 ⊆ Aut C28448C28.11M4(2)448,558
C28.12M4(2) = C4.8Dic28φ: M4(2)/C8C2 ⊆ Aut C28448C28.12M4(2)448,13
C28.13M4(2) = C4.17D56φ: M4(2)/C8C2 ⊆ Aut C28224C28.13M4(2)448,16
C28.14M4(2) = C5611Q8φ: M4(2)/C8C2 ⊆ Aut C28448C28.14M4(2)448,213
C28.15M4(2) = C56⋊C8φ: M4(2)/C8C2 ⊆ Aut C28448C28.15M4(2)448,12
C28.16M4(2) = Dic7⋊C16φ: M4(2)/C8C2 ⊆ Aut C28448C28.16M4(2)448,58
C28.17M4(2) = D14⋊C16φ: M4(2)/C8C2 ⊆ Aut C28224C28.17M4(2)448,64
C28.18M4(2) = C42.282D14φ: M4(2)/C8C2 ⊆ Aut C28224C28.18M4(2)448,219
C28.19M4(2) = C7×D4⋊C8φ: M4(2)/C8C2 ⊆ Aut C28224C28.19M4(2)448,129
C28.20M4(2) = C7×Q8⋊C8φ: M4(2)/C8C2 ⊆ Aut C28448C28.20M4(2)448,130
C28.21M4(2) = C7×C84Q8φ: M4(2)/C8C2 ⊆ Aut C28448C28.21M4(2)448,854
C28.22M4(2) = C562C8φ: M4(2)/C2×C4C2 ⊆ Aut C28448C28.22M4(2)448,14
C28.23M4(2) = C561C8φ: M4(2)/C2×C4C2 ⊆ Aut C28448C28.23M4(2)448,15
C28.24M4(2) = C28.15C42φ: M4(2)/C2×C4C2 ⊆ Aut C281124C28.24M4(2)448,23
C28.25M4(2) = C56.D4φ: M4(2)/C2×C4C2 ⊆ Aut C281124C28.25M4(2)448,110
C28.26M4(2) = C42.7Dic7φ: M4(2)/C2×C4C2 ⊆ Aut C28224C28.26M4(2)448,460
C28.27M4(2) = C42.279D14φ: M4(2)/C2×C4C2 ⊆ Aut C28448C28.27M4(2)448,11
C28.28M4(2) = C28⋊C16φ: M4(2)/C2×C4C2 ⊆ Aut C28448C28.28M4(2)448,19
C28.29M4(2) = C56.91D4φ: M4(2)/C2×C4C2 ⊆ Aut C28224C28.29M4(2)448,106
C28.30M4(2) = C42.6Dic7φ: M4(2)/C2×C4C2 ⊆ Aut C28224C28.30M4(2)448,459
C28.31M4(2) = C7×C82C8φ: M4(2)/C2×C4C2 ⊆ Aut C28448C28.31M4(2)448,138
C28.32M4(2) = C7×C81C8φ: M4(2)/C2×C4C2 ⊆ Aut C28448C28.32M4(2)448,139
C28.33M4(2) = C7×C16⋊C4φ: M4(2)/C2×C4C2 ⊆ Aut C281124C28.33M4(2)448,151
C28.34M4(2) = C7×C23.C8φ: M4(2)/C2×C4C2 ⊆ Aut C281124C28.34M4(2)448,153
C28.35M4(2) = C7×C42.6C4φ: M4(2)/C2×C4C2 ⊆ Aut C28224C28.35M4(2)448,840
C28.36M4(2) = C7×C8⋊C8central extension (φ=1)448C28.36M4(2)448,126
C28.37M4(2) = C7×C22⋊C16central extension (φ=1)224C28.37M4(2)448,152
C28.38M4(2) = C7×C4⋊C16central extension (φ=1)448C28.38M4(2)448,167
C28.39M4(2) = C7×C42.12C4central extension (φ=1)224C28.39M4(2)448,839

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