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Extensions 1→N→G→Q→1 with N=C2×C4⋊F5 and Q=C2

Direct product G=N×Q with N=C2×C4⋊F5 and Q=C2
dρLabelID
C22×C4⋊F580C2^2xC4:F5320,1591

Semidirect products G=N:Q with N=C2×C4⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊F5)⋊1C2 = C2×D20⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5):1C2320,1104
(C2×C4⋊F5)⋊2C2 = C2.(D4×F5)φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5):2C2320,1118
(C2×C4⋊F5)⋊3C2 = C4○D4⋊F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F5408(C2xC4:F5):3C2320,1131
(C2×C4⋊F5)⋊4C2 = C2×D4×F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F540(C2xC4:F5):4C2320,1595
(C2×C4⋊F5)⋊5C2 = D5.2+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊F5408(C2xC4:F5):5C2320,1604
(C2×C4⋊F5)⋊6C2 = D10⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊F540(C2xC4:F5):6C2320,1037
(C2×C4⋊F5)⋊7C2 = C10.(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5):7C2320,1038
(C2×C4⋊F5)⋊8C2 = D10⋊6(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5):8C2320,1103
(C2×C4⋊F5)⋊9C2 = C2×D10.C23φ: trivial image80(C2xC4:F5):9C2320,1592

Non-split extensions G=N.Q with N=C2×C4⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊F5).1C2 = D10.18D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).1C2320,212
(C2×C4⋊F5).2C2 = M4(2)⋊F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F5408(C2xC4:F5).2C2320,237
(C2×C4⋊F5).3C2 = C4⋊C4×F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).3C2320,1048
(C2×C4⋊F5).4C2 = M4(2)⋊1F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F5408(C2xC4:F5).4C2320,1065
(C2×C4⋊F5).5C2 = C2×Q8⋊F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).5C2320,1119
(C2×C4⋊F5).6C2 = (C2×F5)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).6C2320,1128
(C2×C4⋊F5).7C2 = C2×Q8×F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).7C2320,1599
(C2×C4⋊F5).8C2 = D10.10D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).8C2320,231
(C2×C4⋊F5).9C2 = C42⋊8F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).9C2320,1026
(C2×C4⋊F5).10C2 = C42⋊9F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).10C2320,1027
(C2×C4⋊F5).11C2 = C4⋊C4⋊5F5φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).11C2320,1049
(C2×C4⋊F5).12C2 = C20⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).12C2320,1050
(C2×C4⋊F5).13C2 = C2×C40⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).13C2320,1057
(C2×C4⋊F5).14C2 = C2×D5.D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊F580(C2xC4:F5).14C2320,1058
(C2×C4⋊F5).15C2 = C4×C4⋊F5φ: trivial image80(C2xC4:F5).15C2320,1025

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