extension | φ:Q→Aut N | d | ρ | Label | ID |
(C22×C12).1S3 = C3×A4⋊C8 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 72 | 3 | (C2^2xC12).1S3 | 288,398 |
(C22×C12).2S3 = C12.1S4 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 72 | 6- | (C2^2xC12).2S3 | 288,332 |
(C22×C12).3S3 = C22⋊D36 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 36 | 6+ | (C2^2xC12).3S3 | 288,334 |
(C22×C12).4S3 = A4⋊Dic6 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 72 | 6- | (C2^2xC12).4S3 | 288,907 |
(C22×C12).5S3 = C12.S4 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 72 | 6 | (C2^2xC12).5S3 | 288,68 |
(C22×C12).6S3 = C4×C3.S4 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 36 | 6 | (C2^2xC12).6S3 | 288,333 |
(C22×C12).7S3 = C12.12S4 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 72 | 6 | (C2^2xC12).7S3 | 288,402 |
(C22×C12).8S3 = C3×A4⋊Q8 | φ: S3/C1 → S3 ⊆ Aut C22×C12 | 72 | 6 | (C2^2xC12).8S3 | 288,896 |
(C22×C12).9S3 = C18.C42 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).9S3 | 288,38 |
(C22×C12).10S3 = C2×Dic9⋊C4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).10S3 | 288,133 |
(C22×C12).11S3 = C2×D18⋊C4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).11S3 | 288,137 |
(C22×C12).12S3 = C23.28D18 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).12S3 | 288,139 |
(C22×C12).13S3 = C3×C12.55D4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 48 | | (C2^2xC12).13S3 | 288,264 |
(C22×C12).14S3 = C3×C23.32D6 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 96 | | (C2^2xC12).14S3 | 288,265 |
(C22×C12).15S3 = C62.15Q8 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).15S3 | 288,306 |
(C22×C12).16S3 = C6×Dic3⋊C4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 96 | | (C2^2xC12).16S3 | 288,694 |
(C22×C12).17S3 = C2×C6.Dic6 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).17S3 | 288,780 |
(C22×C12).18S3 = C36.49D4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).18S3 | 288,134 |
(C22×C12).19S3 = C2×C4⋊Dic9 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).19S3 | 288,135 |
(C22×C12).20S3 = C36⋊7D4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).20S3 | 288,140 |
(C22×C12).21S3 = C22×Dic18 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).21S3 | 288,352 |
(C22×C12).22S3 = C22×D36 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).22S3 | 288,354 |
(C22×C12).23S3 = C62⋊10Q8 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).23S3 | 288,781 |
(C22×C12).24S3 = C2×C12⋊Dic3 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).24S3 | 288,782 |
(C22×C12).25S3 = C22×C32⋊4Q8 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).25S3 | 288,1003 |
(C22×C12).26S3 = C2×C4.Dic9 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).26S3 | 288,131 |
(C22×C12).27S3 = C23.26D18 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).27S3 | 288,136 |
(C22×C12).28S3 = C2×D36⋊5C2 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).28S3 | 288,355 |
(C22×C12).29S3 = C2×C12.58D6 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).29S3 | 288,778 |
(C22×C12).30S3 = C62.247C23 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).30S3 | 288,783 |
(C22×C12).31S3 = C36.55D4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).31S3 | 288,37 |
(C22×C12).32S3 = C22×C9⋊C8 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).32S3 | 288,130 |
(C22×C12).33S3 = C2×C4×Dic9 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).33S3 | 288,132 |
(C22×C12).34S3 = C4×C9⋊D4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).34S3 | 288,138 |
(C22×C12).35S3 = C62⋊7C8 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).35S3 | 288,305 |
(C22×C12).36S3 = C22×C4×D9 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 144 | | (C2^2xC12).36S3 | 288,353 |
(C22×C12).37S3 = C22×C32⋊4C8 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).37S3 | 288,777 |
(C22×C12).38S3 = C2×C4×C3⋊Dic3 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 288 | | (C2^2xC12).38S3 | 288,779 |
(C22×C12).39S3 = C6×C4.Dic3 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 48 | | (C2^2xC12).39S3 | 288,692 |
(C22×C12).40S3 = C3×C12.48D4 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 48 | | (C2^2xC12).40S3 | 288,695 |
(C22×C12).41S3 = C6×C4⋊Dic3 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 96 | | (C2^2xC12).41S3 | 288,696 |
(C22×C12).42S3 = C3×C23.26D6 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 48 | | (C2^2xC12).42S3 | 288,697 |
(C22×C12).43S3 = C2×C6×Dic6 | φ: S3/C3 → C2 ⊆ Aut C22×C12 | 96 | | (C2^2xC12).43S3 | 288,988 |
(C22×C12).44S3 = C2×C6×C3⋊C8 | central extension (φ=1) | 96 | | (C2^2xC12).44S3 | 288,691 |
(C22×C12).45S3 = Dic3×C2×C12 | central extension (φ=1) | 96 | | (C2^2xC12).45S3 | 288,693 |