extension | φ:Q→Aut N | d | ρ | Label | ID |
(C2×C10).1(C2×A4) = C20⋊4D4⋊C3 | φ: C2×A4/C22 → C6 ⊆ Aut C2×C10 | 60 | 6+ | (C2xC10).1(C2xA4) | 480,262 |
(C2×C10).2(C2×A4) = (C4×C20)⋊C6 | φ: C2×A4/C22 → C6 ⊆ Aut C2×C10 | 80 | 6 | (C2xC10).2(C2xA4) | 480,263 |
(C2×C10).3(C2×A4) = D5×C42⋊C3 | φ: C2×A4/C22 → C6 ⊆ Aut C2×C10 | 60 | 6 | (C2xC10).3(C2xA4) | 480,264 |
(C2×C10).4(C2×A4) = (C22×D5)⋊A4 | φ: C2×A4/C22 → C6 ⊆ Aut C2×C10 | 40 | 6 | (C2xC10).4(C2xA4) | 480,268 |
(C2×C10).5(C2×A4) = C10×C42⋊C3 | φ: C2×A4/C23 → C3 ⊆ Aut C2×C10 | 60 | 3 | (C2xC10).5(C2xA4) | 480,654 |
(C2×C10).6(C2×A4) = C5×C24⋊C6 | φ: C2×A4/C23 → C3 ⊆ Aut C2×C10 | 40 | 6 | (C2xC10).6(C2xA4) | 480,656 |
(C2×C10).7(C2×A4) = C5×C42⋊C6 | φ: C2×A4/C23 → C3 ⊆ Aut C2×C10 | 80 | 6 | (C2xC10).7(C2xA4) | 480,657 |
(C2×C10).8(C2×A4) = C5×C23.A4 | φ: C2×A4/C23 → C3 ⊆ Aut C2×C10 | 60 | 6 | (C2xC10).8(C2xA4) | 480,658 |
(C2×C10).9(C2×A4) = C5×D4.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C2×C10 | 80 | 4 | (C2xC10).9(C2xA4) | 480,1132 |
(C2×C10).10(C2×A4) = Dic5×SL2(𝔽3) | φ: C2×A4/A4 → C2 ⊆ Aut C2×C10 | 160 | | (C2xC10).10(C2xA4) | 480,266 |
(C2×C10).11(C2×A4) = C2×Dic5.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C2×C10 | 160 | | (C2xC10).11(C2xA4) | 480,1038 |
(C2×C10).12(C2×A4) = C2×D5×SL2(𝔽3) | φ: C2×A4/A4 → C2 ⊆ Aut C2×C10 | 80 | | (C2xC10).12(C2xA4) | 480,1039 |
(C2×C10).13(C2×A4) = SL2(𝔽3).11D10 | φ: C2×A4/A4 → C2 ⊆ Aut C2×C10 | 80 | 4 | (C2xC10).13(C2xA4) | 480,1040 |
(C2×C10).14(C2×A4) = C2×A4×Dic5 | φ: C2×A4/A4 → C2 ⊆ Aut C2×C10 | 120 | | (C2xC10).14(C2xA4) | 480,1044 |
(C2×C10).15(C2×A4) = C20×SL2(𝔽3) | central extension (φ=1) | 160 | | (C2xC10).15(C2xA4) | 480,655 |
(C2×C10).16(C2×A4) = A4×C2×C20 | central extension (φ=1) | 120 | | (C2xC10).16(C2xA4) | 480,1126 |
(C2×C10).17(C2×A4) = C2×C10×SL2(𝔽3) | central extension (φ=1) | 160 | | (C2xC10).17(C2xA4) | 480,1128 |
(C2×C10).18(C2×A4) = C10×C4.A4 | central extension (φ=1) | 160 | | (C2xC10).18(C2xA4) | 480,1130 |