extension | φ:Q→Aut N | d | ρ | Label | ID |
C20.1(C2×A4) = A4×Dic10 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 120 | 6- | C20.1(C2xA4) | 480,1035 |
C20.2(C2×A4) = Dic10.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 120 | 4+ | C20.2(C2xA4) | 480,1041 |
C20.3(C2×A4) = D20.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 80 | 4- | C20.3(C2xA4) | 480,1043 |
C20.4(C2×A4) = A4×C5⋊2C8 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 120 | 6 | C20.4(C2xA4) | 480,265 |
C20.5(C2×A4) = SL2(𝔽3).Dic5 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 160 | 4 | C20.5(C2xA4) | 480,267 |
C20.6(C2×A4) = D5×C4.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 80 | 4 | C20.6(C2xA4) | 480,1042 |
C20.7(C2×A4) = C5×Q8×A4 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 120 | 6 | C20.7(C2xA4) | 480,1129 |
C20.8(C2×A4) = C5×Q8.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 120 | 4 | C20.8(C2xA4) | 480,1131 |
C20.9(C2×A4) = C5×D4.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C20 | 80 | 4 | C20.9(C2xA4) | 480,1132 |
C20.10(C2×A4) = A4×C40 | central extension (φ=1) | 120 | 3 | C20.10(C2xA4) | 480,659 |
C20.11(C2×A4) = C5×C8.A4 | central extension (φ=1) | 160 | 2 | C20.11(C2xA4) | 480,660 |
C20.12(C2×A4) = C10×C4.A4 | central extension (φ=1) | 160 | | C20.12(C2xA4) | 480,1130 |