# Extensions 1→N→G→Q→1 with N=C4×F5 and Q=C22

Direct product G=N×Q with N=C4×F5 and Q=C22
dρLabelID
C22×C4×F580C2^2xC4xF5320,1590

Semidirect products G=N:Q with N=C4×F5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×F5)⋊1C22 = (C2×D4)⋊6F5φ: C22/C1C22 ⊆ Out C4×F5808-(C4xF5):1C2^2320,1107
(C4×F5)⋊2C22 = (C2×Q8)⋊6F5φ: C22/C1C22 ⊆ Out C4×F5808+(C4xF5):2C2^2320,1122
(C4×F5)⋊3C22 = D4⋊F5⋊C2φ: C22/C1C22 ⊆ Out C4×F5808(C4xF5):3C2^2320,1133
(C4×F5)⋊4C22 = D10.C24φ: C22/C1C22 ⊆ Out C4×F5408+(C4xF5):4C2^2320,1596
(C4×F5)⋊5C22 = C2×D4⋊F5φ: C22/C2C2 ⊆ Out C4×F580(C4xF5):5C2^2320,1106
(C4×F5)⋊6C22 = C2×Q82F5φ: C22/C2C2 ⊆ Out C4×F580(C4xF5):6C2^2320,1121
(C4×F5)⋊7C22 = D5⋊C4≀C2φ: C22/C2C2 ⊆ Out C4×F5408(C4xF5):7C2^2320,1130
(C4×F5)⋊8C22 = C2×D4×F5φ: C22/C2C2 ⊆ Out C4×F540(C4xF5):8C2^2320,1595
(C4×F5)⋊9C22 = C2×D10.C23φ: C22/C2C2 ⊆ Out C4×F580(C4xF5):9C2^2320,1592

Non-split extensions G=N.Q with N=C4×F5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×F5).1C22 = D40⋊C4φ: C22/C1C22 ⊆ Out C4×F5408+(C4xF5).1C2^2320,1069
(C4×F5).2C22 = D8⋊F5φ: C22/C1C22 ⊆ Out C4×F5808-(C4xF5).2C2^2320,1071
(C4×F5).3C22 = SD16⋊F5φ: C22/C1C22 ⊆ Out C4×F5408(C4xF5).3C2^2320,1073
(C4×F5).4C22 = SD162F5φ: C22/C1C22 ⊆ Out C4×F5808(C4xF5).4C2^2320,1075
(C4×F5).5C22 = Dic20⋊C4φ: C22/C1C22 ⊆ Out C4×F5808-(C4xF5).5C2^2320,1077
(C4×F5).6C22 = Q16⋊F5φ: C22/C1C22 ⊆ Out C4×F5808+(C4xF5).6C2^2320,1079
(C4×F5).7C22 = D5.2- 1+4φ: C22/C1C22 ⊆ Out C4×F5808-(C4xF5).7C2^2320,1600
(C4×F5).8C22 = D5.2+ 1+4φ: C22/C1C22 ⊆ Out C4×F5408(C4xF5).8C2^2320,1604
(C4×F5).9C22 = D8×F5φ: C22/C2C2 ⊆ Out C4×F5408+(C4xF5).9C2^2320,1068
(C4×F5).10C22 = D85F5φ: C22/C2C2 ⊆ Out C4×F5808-(C4xF5).10C2^2320,1070
(C4×F5).11C22 = SD16×F5φ: C22/C2C2 ⊆ Out C4×F5408(C4xF5).11C2^2320,1072
(C4×F5).12C22 = SD163F5φ: C22/C2C2 ⊆ Out C4×F5808(C4xF5).12C2^2320,1074
(C4×F5).13C22 = Q16×F5φ: C22/C2C2 ⊆ Out C4×F5808-(C4xF5).13C2^2320,1076
(C4×F5).14C22 = Q165F5φ: C22/C2C2 ⊆ Out C4×F5808+(C4xF5).14C2^2320,1078
(C4×F5).15C22 = C2×Q8×F5φ: C22/C2C2 ⊆ Out C4×F580(C4xF5).15C2^2320,1599
(C4×F5).16C22 = C2×C8⋊F5φ: C22/C2C2 ⊆ Out C4×F580(C4xF5).16C2^2320,1055
(C4×F5).17C22 = C20.12C42φ: C22/C2C2 ⊆ Out C4×F5804(C4xF5).17C2^2320,1056
(C4×F5).18C22 = M4(2)×F5φ: C22/C2C2 ⊆ Out C4×F5408(C4xF5).18C2^2320,1064
(C4×F5).19C22 = M4(2)⋊5F5φ: C22/C2C2 ⊆ Out C4×F5808(C4xF5).19C2^2320,1066
(C4×F5).20C22 = C2×C8×F5φ: trivial image80(C4xF5).20C2^2320,1054
(C4×F5).21C22 = C4○D4×F5φ: trivial image408(C4xF5).21C2^2320,1603

׿
×
𝔽