# Extensions 1→N→G→Q→1 with N=C52 and Q=M4(2)

Direct product G=N×Q with N=C52 and Q=M4(2)
dρLabelID
M4(2)×C52200M4(2)xC5^2400,112

Semidirect products G=N:Q with N=C52 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C52⋊M4(2) = C52⋊M4(2)φ: M4(2)/C1M4(2) ⊆ Aut C52108+C5^2:M4(2)400,206
C522M4(2) = D10.F5φ: M4(2)/C2C2×C4 ⊆ Aut C52808-C5^2:2M4(2)400,122
C523M4(2) = Dic5.F5φ: M4(2)/C2C2×C4 ⊆ Aut C52408+C5^2:3M4(2)400,123
C524M4(2) = C524M4(2)φ: M4(2)/C2C2×C4 ⊆ Aut C52808-C5^2:4M4(2)400,128
C525M4(2) = C5×C4.F5φ: M4(2)/C4C4 ⊆ Aut C52804C5^2:5M4(2)400,136
C526M4(2) = C20.12F5φ: M4(2)/C4C4 ⊆ Aut C52804C5^2:6M4(2)400,143
C527M4(2) = C527M4(2)φ: M4(2)/C4C4 ⊆ Aut C52200C5^2:7M4(2)400,150
C528M4(2) = C528M4(2)φ: M4(2)/C4C4 ⊆ Aut C52404C5^2:8M4(2)400,157
C529M4(2) = C20.30D10φ: M4(2)/C4C22 ⊆ Aut C52804C5^2:9M4(2)400,62
C5210M4(2) = C20.31D10φ: M4(2)/C4C22 ⊆ Aut C52404C5^2:10M4(2)400,63
C5211M4(2) = C5×C22.F5φ: M4(2)/C22C4 ⊆ Aut C52404C5^2:11M4(2)400,140
C5212M4(2) = C102.C4φ: M4(2)/C22C4 ⊆ Aut C52404C5^2:12M4(2)400,147
C5213M4(2) = C5213M4(2)φ: M4(2)/C22C4 ⊆ Aut C52200C5^2:13M4(2)400,154
C5214M4(2) = C5214M4(2)φ: M4(2)/C22C4 ⊆ Aut C52404-C5^2:14M4(2)400,161
C5215M4(2) = C5×C8⋊D5φ: M4(2)/C8C2 ⊆ Aut C52802C5^2:15M4(2)400,77
C5216M4(2) = C40⋊D5φ: M4(2)/C8C2 ⊆ Aut C52200C5^2:16M4(2)400,93
C5217M4(2) = C5×C4.Dic5φ: M4(2)/C2×C4C2 ⊆ Aut C52402C5^2:17M4(2)400,82
C5218M4(2) = C20.59D10φ: M4(2)/C2×C4C2 ⊆ Aut C52200C5^2:18M4(2)400,98

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