extension | φ:Q→Aut N | d | ρ | Label | ID |
C4.12- 1+4 = C42.293D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.1ES-(2,2) | 128,1977 |
C4.22- 1+4 = C42.294D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.2ES-(2,2) | 128,1978 |
C4.32- 1+4 = C42.295D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.3ES-(2,2) | 128,1979 |
C4.42- 1+4 = C42.296D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.4ES-(2,2) | 128,1980 |
C4.52- 1+4 = C42.297D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.5ES-(2,2) | 128,1981 |
C4.62- 1+4 = C42.298D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.6ES-(2,2) | 128,1982 |
C4.72- 1+4 = C42.299D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.7ES-(2,2) | 128,1983 |
C4.82- 1+4 = C42.300D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.8ES-(2,2) | 128,1984 |
C4.92- 1+4 = C42.301D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.9ES-(2,2) | 128,1985 |
C4.102- 1+4 = C42.302D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.10ES-(2,2) | 128,1986 |
C4.112- 1+4 = C42.303D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.11ES-(2,2) | 128,1987 |
C4.122- 1+4 = C42.304D4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.12ES-(2,2) | 128,1988 |
C4.132- 1+4 = C4.2- 1+4 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.13ES-(2,2) | 128,1989 |
C4.142- 1+4 = C42.25C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.14ES-(2,2) | 128,1990 |
C4.152- 1+4 = C42.26C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.15ES-(2,2) | 128,1991 |
C4.162- 1+4 = C42.27C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.16ES-(2,2) | 128,1992 |
C4.172- 1+4 = C42.28C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.17ES-(2,2) | 128,1993 |
C4.182- 1+4 = C42.29C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.18ES-(2,2) | 128,1994 |
C4.192- 1+4 = C42.30C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.19ES-(2,2) | 128,1995 |
C4.202- 1+4 = Q8⋊4D8 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.20ES-(2,2) | 128,2090 |
C4.212- 1+4 = Q8⋊7SD16 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.21ES-(2,2) | 128,2091 |
C4.222- 1+4 = C42.501C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.22ES-(2,2) | 128,2092 |
C4.232- 1+4 = C42.502C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.23ES-(2,2) | 128,2093 |
C4.242- 1+4 = Q8⋊8SD16 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.24ES-(2,2) | 128,2094 |
C4.252- 1+4 = Q8⋊5Q16 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 128 | | C4.25ES-(2,2) | 128,2095 |
C4.262- 1+4 = C42.505C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.26ES-(2,2) | 128,2096 |
C4.272- 1+4 = C42.506C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.27ES-(2,2) | 128,2097 |
C4.282- 1+4 = C42.507C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.28ES-(2,2) | 128,2098 |
C4.292- 1+4 = C42.508C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.29ES-(2,2) | 128,2099 |
C4.302- 1+4 = C42.509C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.30ES-(2,2) | 128,2100 |
C4.312- 1+4 = C42.510C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.31ES-(2,2) | 128,2101 |
C4.322- 1+4 = C42.511C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.32ES-(2,2) | 128,2102 |
C4.332- 1+4 = C42.512C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.33ES-(2,2) | 128,2103 |
C4.342- 1+4 = C42.513C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.34ES-(2,2) | 128,2104 |
C4.352- 1+4 = C42.514C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.35ES-(2,2) | 128,2105 |
C4.362- 1+4 = C42.515C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 128 | | C4.36ES-(2,2) | 128,2106 |
C4.372- 1+4 = C42.516C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.37ES-(2,2) | 128,2107 |
C4.382- 1+4 = C42.517C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.38ES-(2,2) | 128,2108 |
C4.392- 1+4 = C42.518C23 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.39ES-(2,2) | 128,2109 |
C4.402- 1+4 = C22.91C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.40ES-(2,2) | 128,2234 |
C4.412- 1+4 = C22.96C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.41ES-(2,2) | 128,2239 |
C4.422- 1+4 = C22.111C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.42ES-(2,2) | 128,2254 |
C4.432- 1+4 = C23.146C24 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.43ES-(2,2) | 128,2255 |
C4.442- 1+4 = C22.137C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.44ES-(2,2) | 128,2280 |
C4.452- 1+4 = C22.139C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.45ES-(2,2) | 128,2282 |
C4.462- 1+4 = C22.143C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.46ES-(2,2) | 128,2286 |
C4.472- 1+4 = C22.144C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.47ES-(2,2) | 128,2287 |
C4.482- 1+4 = C22.145C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.48ES-(2,2) | 128,2288 |
C4.492- 1+4 = C22.146C25 | φ: 2- 1+4/C2×Q8 → C2 ⊆ Aut C4 | 64 | | C4.49ES-(2,2) | 128,2289 |
C4.502- 1+4 = C42.278D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.50ES-(2,2) | 128,1958 |
C4.512- 1+4 = C42.279D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.51ES-(2,2) | 128,1959 |
C4.522- 1+4 = C42.280D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.52ES-(2,2) | 128,1960 |
C4.532- 1+4 = C42.281D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.53ES-(2,2) | 128,1961 |
C4.542- 1+4 = C42.282D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.54ES-(2,2) | 128,1962 |
C4.552- 1+4 = C42.283D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.55ES-(2,2) | 128,1963 |
C4.562- 1+4 = C42.284D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.56ES-(2,2) | 128,1964 |
C4.572- 1+4 = C42.285D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.57ES-(2,2) | 128,1965 |
C4.582- 1+4 = C42.286D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.58ES-(2,2) | 128,1966 |
C4.592- 1+4 = C42.287D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.59ES-(2,2) | 128,1967 |
C4.602- 1+4 = C42.288D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.60ES-(2,2) | 128,1968 |
C4.612- 1+4 = C42.289D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.61ES-(2,2) | 128,1969 |
C4.622- 1+4 = C42.290D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.62ES-(2,2) | 128,1970 |
C4.632- 1+4 = C42.291D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.63ES-(2,2) | 128,1971 |
C4.642- 1+4 = C42.292D4 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.64ES-(2,2) | 128,1972 |
C4.652- 1+4 = C42.423C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.65ES-(2,2) | 128,1973 |
C4.662- 1+4 = C42.424C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.66ES-(2,2) | 128,1974 |
C4.672- 1+4 = C42.425C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.67ES-(2,2) | 128,1975 |
C4.682- 1+4 = C42.426C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.68ES-(2,2) | 128,1976 |
C4.692- 1+4 = D4⋊5D8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.69ES-(2,2) | 128,2066 |
C4.702- 1+4 = D4⋊9SD16 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.70ES-(2,2) | 128,2067 |
C4.712- 1+4 = C42.485C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.71ES-(2,2) | 128,2068 |
C4.722- 1+4 = C42.486C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.72ES-(2,2) | 128,2069 |
C4.732- 1+4 = D4⋊6Q16 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.73ES-(2,2) | 128,2070 |
C4.742- 1+4 = C42.488C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.74ES-(2,2) | 128,2071 |
C4.752- 1+4 = C42.489C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.75ES-(2,2) | 128,2072 |
C4.762- 1+4 = C42.490C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.76ES-(2,2) | 128,2073 |
C4.772- 1+4 = C42.491C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.77ES-(2,2) | 128,2074 |
C4.782- 1+4 = C42.57C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.78ES-(2,2) | 128,2075 |
C4.792- 1+4 = C42.58C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.79ES-(2,2) | 128,2076 |
C4.802- 1+4 = C42.59C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.80ES-(2,2) | 128,2077 |
C4.812- 1+4 = C42.60C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.81ES-(2,2) | 128,2078 |
C4.822- 1+4 = C42.61C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.82ES-(2,2) | 128,2079 |
C4.832- 1+4 = C42.62C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.83ES-(2,2) | 128,2080 |
C4.842- 1+4 = C42.63C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.84ES-(2,2) | 128,2081 |
C4.852- 1+4 = C42.64C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.85ES-(2,2) | 128,2082 |
C4.862- 1+4 = C42.492C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.86ES-(2,2) | 128,2083 |
C4.872- 1+4 = C42.493C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.87ES-(2,2) | 128,2084 |
C4.882- 1+4 = C42.494C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.88ES-(2,2) | 128,2085 |
C4.892- 1+4 = C42.495C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.89ES-(2,2) | 128,2086 |
C4.902- 1+4 = C42.496C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.90ES-(2,2) | 128,2087 |
C4.912- 1+4 = C42.497C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.91ES-(2,2) | 128,2088 |
C4.922- 1+4 = C42.498C23 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.92ES-(2,2) | 128,2089 |
C4.932- 1+4 = Q8×D8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.93ES-(2,2) | 128,2110 |
C4.942- 1+4 = Q8×SD16 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.94ES-(2,2) | 128,2111 |
C4.952- 1+4 = D8⋊6Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.95ES-(2,2) | 128,2112 |
C4.962- 1+4 = SD16⋊4Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.96ES-(2,2) | 128,2113 |
C4.972- 1+4 = Q8×Q16 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 128 | | C4.97ES-(2,2) | 128,2114 |
C4.982- 1+4 = Q16⋊6Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 128 | | C4.98ES-(2,2) | 128,2115 |
C4.992- 1+4 = D8⋊4Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.99ES-(2,2) | 128,2116 |
C4.1002- 1+4 = SD16⋊Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.100ES-(2,2) | 128,2117 |
C4.1012- 1+4 = SD16⋊2Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.101ES-(2,2) | 128,2118 |
C4.1022- 1+4 = Q16⋊4Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 128 | | C4.102ES-(2,2) | 128,2119 |
C4.1032- 1+4 = SD16⋊3Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.103ES-(2,2) | 128,2120 |
C4.1042- 1+4 = D8⋊5Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.104ES-(2,2) | 128,2121 |
C4.1052- 1+4 = Q16⋊5Q8 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 128 | | C4.105ES-(2,2) | 128,2122 |
C4.1062- 1+4 = C22.92C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.106ES-(2,2) | 128,2235 |
C4.1072- 1+4 = C22.98C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.107ES-(2,2) | 128,2241 |
C4.1082- 1+4 = C22.100C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.108ES-(2,2) | 128,2243 |
C4.1092- 1+4 = C22.104C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.109ES-(2,2) | 128,2247 |
C4.1102- 1+4 = C22.107C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.110ES-(2,2) | 128,2250 |
C4.1112- 1+4 = C22.133C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.111ES-(2,2) | 128,2276 |
C4.1122- 1+4 = C22.136C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.112ES-(2,2) | 128,2279 |
C4.1132- 1+4 = C22.141C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.113ES-(2,2) | 128,2284 |
C4.1142- 1+4 = C22.148C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.114ES-(2,2) | 128,2291 |
C4.1152- 1+4 = C22.152C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.115ES-(2,2) | 128,2295 |
C4.1162- 1+4 = C22.154C25 | φ: 2- 1+4/C4○D4 → C2 ⊆ Aut C4 | 64 | | C4.116ES-(2,2) | 128,2297 |
C4.1172- 1+4 = C42.695C23 | central extension (φ=1) | 64 | | C4.117ES-(2,2) | 128,1714 |
C4.1182- 1+4 = C42.302C23 | central extension (φ=1) | 64 | | C4.118ES-(2,2) | 128,1715 |
C4.1192- 1+4 = Q8.4M4(2) | central extension (φ=1) | 64 | | C4.119ES-(2,2) | 128,1716 |
C4.1202- 1+4 = C42.696C23 | central extension (φ=1) | 64 | | C4.120ES-(2,2) | 128,1717 |
C4.1212- 1+4 = C42.304C23 | central extension (φ=1) | 64 | | C4.121ES-(2,2) | 128,1718 |
C4.1222- 1+4 = C42.305C23 | central extension (φ=1) | 64 | | C4.122ES-(2,2) | 128,1719 |
C4.1232- 1+4 = C42.697C23 | central extension (φ=1) | 64 | | C4.123ES-(2,2) | 128,1720 |
C4.1242- 1+4 = C42.698C23 | central extension (φ=1) | 64 | | C4.124ES-(2,2) | 128,1721 |
C4.1252- 1+4 = D4⋊8M4(2) | central extension (φ=1) | 64 | | C4.125ES-(2,2) | 128,1722 |
C4.1262- 1+4 = Q8⋊7M4(2) | central extension (φ=1) | 64 | | C4.126ES-(2,2) | 128,1723 |
C4.1272- 1+4 = C42.307C23 | central extension (φ=1) | 64 | | C4.127ES-(2,2) | 128,1724 |
C4.1282- 1+4 = C42.308C23 | central extension (φ=1) | 64 | | C4.128ES-(2,2) | 128,1725 |
C4.1292- 1+4 = C42.309C23 | central extension (φ=1) | 64 | | C4.129ES-(2,2) | 128,1726 |
C4.1302- 1+4 = C42.310C23 | central extension (φ=1) | 64 | | C4.130ES-(2,2) | 128,1727 |
C4.1312- 1+4 = C22.50C25 | central extension (φ=1) | 64 | | C4.131ES-(2,2) | 128,2193 |
C4.1322- 1+4 = C22.71C25 | central extension (φ=1) | 64 | | C4.132ES-(2,2) | 128,2214 |
C4.1332- 1+4 = C22.120C25 | central extension (φ=1) | 64 | | C4.133ES-(2,2) | 128,2263 |