extension | φ:Q→Aut N | d | ρ | Label | ID |
C14.1(C2×A4) = Q8.F7 | φ: C2×A4/C22 → C6 ⊆ Aut C14 | 112 | 12+ | C14.1(C2xA4) | 336,134 |
C14.2(C2×A4) = Q8⋊F7 | φ: C2×A4/C22 → C6 ⊆ Aut C14 | 56 | 12- | C14.2(C2xA4) | 336,135 |
C14.3(C2×A4) = Dic7⋊A4 | φ: C2×A4/C22 → C6 ⊆ Aut C14 | 84 | 6- | C14.3(C2xA4) | 336,136 |
C14.4(C2×A4) = C4×C7⋊A4 | φ: C2×A4/C23 → C3 ⊆ Aut C14 | 84 | 3 | C14.4(C2xA4) | 336,171 |
C14.5(C2×A4) = C2×C14.A4 | φ: C2×A4/C23 → C3 ⊆ Aut C14 | 112 | | C14.5(C2xA4) | 336,172 |
C14.6(C2×A4) = C28.A4 | φ: C2×A4/C23 → C3 ⊆ Aut C14 | 112 | 6 | C14.6(C2xA4) | 336,173 |
C14.7(C2×A4) = Dic7.2A4 | φ: C2×A4/A4 → C2 ⊆ Aut C14 | 112 | 4+ | C14.7(C2xA4) | 336,131 |
C14.8(C2×A4) = D7×SL2(𝔽3) | φ: C2×A4/A4 → C2 ⊆ Aut C14 | 56 | 4- | C14.8(C2xA4) | 336,132 |
C14.9(C2×A4) = A4×Dic7 | φ: C2×A4/A4 → C2 ⊆ Aut C14 | 84 | 6- | C14.9(C2xA4) | 336,133 |
C14.10(C2×A4) = A4×C28 | central extension (φ=1) | 84 | 3 | C14.10(C2xA4) | 336,168 |
C14.11(C2×A4) = C14×SL2(𝔽3) | central extension (φ=1) | 112 | | C14.11(C2xA4) | 336,169 |
C14.12(C2×A4) = C7×C4.A4 | central extension (φ=1) | 112 | 2 | C14.12(C2xA4) | 336,170 |