# Extensions 1→N→G→Q→1 with N=C8×F5 and Q=C2

Direct product G=N×Q with N=C8×F5 and Q=C2
dρLabelID
C2×C8×F580C2xC8xF5320,1054

Semidirect products G=N:Q with N=C8×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8×F5)⋊1C2 = D8×F5φ: C2/C1C2 ⊆ Out C8×F5408+(C8xF5):1C2320,1068
(C8×F5)⋊2C2 = D85F5φ: C2/C1C2 ⊆ Out C8×F5808-(C8xF5):2C2320,1070
(C8×F5)⋊3C2 = Q165F5φ: C2/C1C2 ⊆ Out C8×F5808+(C8xF5):3C2320,1078
(C8×F5)⋊4C2 = SD16×F5φ: C2/C1C2 ⊆ Out C8×F5408(C8xF5):4C2320,1072
(C8×F5)⋊5C2 = SD163F5φ: C2/C1C2 ⊆ Out C8×F5808(C8xF5):5C2320,1074
(C8×F5)⋊6C2 = C20.12C42φ: C2/C1C2 ⊆ Out C8×F5804(C8xF5):6C2320,1056
(C8×F5)⋊7C2 = M4(2)×F5φ: C2/C1C2 ⊆ Out C8×F5408(C8xF5):7C2320,1064
(C8×F5)⋊8C2 = M4(2)⋊5F5φ: C2/C1C2 ⊆ Out C8×F5808(C8xF5):8C2320,1066

Non-split extensions G=N.Q with N=C8×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8×F5).1C2 = Q16×F5φ: C2/C1C2 ⊆ Out C8×F5808-(C8xF5).1C2320,1076
(C8×F5).2C2 = C167F5φ: C2/C1C2 ⊆ Out C8×F5804(C8xF5).2C2320,182
(C8×F5).3C2 = C16×F5φ: trivial image804(C8xF5).3C2320,181

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