# Extensions 1→N→G→Q→1 with N=C22×F5 and Q=C22

Direct product G=N×Q with N=C22×F5 and Q=C22
dρLabelID
C24×F580C2^4xF5320,1638

Semidirect products G=N:Q with N=C22×F5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×F5)⋊1C22 = C244F5φ: C22/C1C22 ⊆ Out C22×F540(C2^2xF5):1C2^2320,1138
(C22×F5)⋊2C22 = D10.C24φ: C22/C1C22 ⊆ Out C22×F5408+(C2^2xF5):2C2^2320,1596
(C22×F5)⋊3C22 = C2×D4×F5φ: C22/C2C2 ⊆ Out C22×F540(C2^2xF5):3C2^2320,1595
(C22×F5)⋊4C22 = C22×C22⋊F5φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5):4C2^2320,1607

Non-split extensions G=N.Q with N=C22×F5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×F5).1C22 = C428F5φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).1C2^2320,1026
(C22×F5).2C22 = C429F5φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).2C2^2320,1027
(C22×F5).3C22 = C425F5φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).3C2^2320,1028
(C22×F5).4C22 = D10⋊(C4⋊C4)φ: C22/C1C22 ⊆ Out C22×F540(C2^2xF5).4C2^2320,1037
(C22×F5).5C22 = C20⋊(C4⋊C4)φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).5C2^2320,1050
(C22×F5).6C22 = (C22×C4)⋊7F5φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).6C2^2320,1102
(C22×F5).7C22 = D106(C4⋊C4)φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).7C2^2320,1103
(C22×F5).8C22 = (C2×F5)⋊D4φ: C22/C1C22 ⊆ Out C22×F540(C2^2xF5).8C2^2320,1117
(C22×F5).9C22 = C2.(D4×F5)φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).9C2^2320,1118
(C22×F5).10C22 = (C2×F5)⋊Q8φ: C22/C1C22 ⊆ Out C22×F580(C2^2xF5).10C2^2320,1128
(C22×F5).11C22 = D5.2+ 1+4φ: C22/C1C22 ⊆ Out C22×F5408(C2^2xF5).11C2^2320,1604
(C22×F5).12C22 = C424F5φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).12C2^2320,1024
(C22×F5).13C22 = C4×C4⋊F5φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).13C2^2320,1025
(C22×F5).14C22 = C10.(C4×D4)φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).14C2^2320,1038
(C22×F5).15C22 = C4⋊C45F5φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).15C2^2320,1049
(C22×F5).16C22 = C2×D10.3Q8φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).16C2^2320,1100
(C22×F5).17C22 = C4×C22⋊F5φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).17C2^2320,1101
(C22×F5).18C22 = C22×C4⋊F5φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).18C2^2320,1591
(C22×F5).19C22 = C2×D10.C23φ: C22/C2C2 ⊆ Out C22×F580(C2^2xF5).19C2^2320,1592
(C22×F5).20C22 = C4○D4×F5φ: C22/C2C2 ⊆ Out C22×F5408(C2^2xF5).20C2^2320,1603
(C22×F5).21C22 = C42×F5φ: trivial image80(C2^2xF5).21C2^2320,1023
(C22×F5).22C22 = C22⋊C4×F5φ: trivial image40(C2^2xF5).22C2^2320,1036
(C22×F5).23C22 = C4⋊C4×F5φ: trivial image80(C2^2xF5).23C2^2320,1048
(C22×F5).24C22 = C22×C4×F5φ: trivial image80(C2^2xF5).24C2^2320,1590
(C22×F5).25C22 = C2×Q8×F5φ: trivial image80(C2^2xF5).25C2^2320,1599

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