# Extensions 1→N→G→Q→1 with N=C2×C22⋊F5 and Q=C2

Direct product G=N×Q with N=C2×C22⋊F5 and Q=C2
dρLabelID
C22×C22⋊F580C2^2xC2^2:F5320,1607

Semidirect products G=N:Q with N=C2×C22⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C22⋊F5)⋊1C2 = C2×D10.D4φ: C2/C1C2 ⊆ Out C2×C22⋊F580(C2xC2^2:F5):1C2320,1082
(C2×C22⋊F5)⋊2C2 = (C2×D4)⋊7F5φ: C2/C1C2 ⊆ Out C2×C22⋊F5408+(C2xC2^2:F5):2C2320,1108
(C2×C22⋊F5)⋊3C2 = (C2×F5)⋊D4φ: C2/C1C2 ⊆ Out C2×C22⋊F540(C2xC2^2:F5):3C2320,1117
(C2×C22⋊F5)⋊4C2 = C2.(D4×F5)φ: C2/C1C2 ⊆ Out C2×C22⋊F580(C2xC2^2:F5):4C2320,1118
(C2×C22⋊F5)⋊5C2 = C2×C23⋊F5φ: C2/C1C2 ⊆ Out C2×C22⋊F580(C2xC2^2:F5):5C2320,1134
(C2×C22⋊F5)⋊6C2 = C244F5φ: C2/C1C2 ⊆ Out C2×C22⋊F540(C2xC2^2:F5):6C2320,1138
(C2×C22⋊F5)⋊7C2 = C2×D4×F5φ: C2/C1C2 ⊆ Out C2×C22⋊F540(C2xC2^2:F5):7C2320,1595
(C2×C22⋊F5)⋊8C2 = D10.C24φ: C2/C1C2 ⊆ Out C2×C22⋊F5408+(C2xC2^2:F5):8C2320,1596

Non-split extensions G=N.Q with N=C2×C22⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C22⋊F5).1C2 = (C22×F5)⋊C4φ: C2/C1C2 ⊆ Out C2×C22⋊F5408+(C2xC2^2:F5).1C2320,204
(C2×C22⋊F5).2C2 = C22⋊F5⋊C4φ: C2/C1C2 ⊆ Out C2×C22⋊F580(C2xC2^2:F5).2C2320,255
(C2×C22⋊F5).3C2 = C22⋊C4×F5φ: C2/C1C2 ⊆ Out C2×C22⋊F540(C2xC2^2:F5).3C2320,1036
(C2×C22⋊F5).4C2 = D10⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C22⋊F540(C2xC2^2:F5).4C2320,1037
(C2×C22⋊F5).5C2 = C10.(C4×D4)φ: C2/C1C2 ⊆ Out C2×C22⋊F580(C2xC2^2:F5).5C2320,1038
(C2×C22⋊F5).6C2 = (C22×C4)⋊7F5φ: C2/C1C2 ⊆ Out C2×C22⋊F580(C2xC2^2:F5).6C2320,1102
(C2×C22⋊F5).7C2 = D106(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C22⋊F580(C2xC2^2:F5).7C2320,1103
(C2×C22⋊F5).8C2 = C4×C22⋊F5φ: trivial image80(C2xC2^2:F5).8C2320,1101
(C2×C22⋊F5).9C2 = C2×D10.C23φ: trivial image80(C2xC2^2:F5).9C2320,1592

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