extension | φ:Q→Aut N | d | ρ | Label | ID |
(C22×C6).1F5 = C3×C23.F5 | φ: F5/C5 → C4 ⊆ Aut C22×C6 | 120 | 4 | (C2^2xC6).1F5 | 480,293 |
(C22×C6).2F5 = C5⋊(C12.D4) | φ: F5/C5 → C4 ⊆ Aut C22×C6 | 120 | 4 | (C2^2xC6).2F5 | 480,318 |
(C22×C6).3F5 = C3×C23.2F5 | φ: F5/D5 → C2 ⊆ Aut C22×C6 | 240 | | (C2^2xC6).3F5 | 480,292 |
(C22×C6).4F5 = C6×C22.F5 | φ: F5/D5 → C2 ⊆ Aut C22×C6 | 240 | | (C2^2xC6).4F5 | 480,1058 |
(C22×C6).5F5 = C30.22M4(2) | φ: F5/D5 → C2 ⊆ Aut C22×C6 | 240 | | (C2^2xC6).5F5 | 480,317 |
(C22×C6).6F5 = C22×C15⋊C8 | φ: F5/D5 → C2 ⊆ Aut C22×C6 | 480 | | (C2^2xC6).6F5 | 480,1070 |
(C22×C6).7F5 = C2×C15⋊8M4(2) | φ: F5/D5 → C2 ⊆ Aut C22×C6 | 240 | | (C2^2xC6).7F5 | 480,1071 |
(C22×C6).8F5 = C2×C6×C5⋊C8 | central extension (φ=1) | 480 | | (C2^2xC6).8F5 | 480,1057 |