Extensions 1→N→G→Q→1 with N=D4.Q8 and Q=C2

Direct product G=N×Q with N=D4.Q8 and Q=C2
dρLabelID
C2×D4.Q864C2xD4.Q8128,1804

Semidirect products G=N:Q with N=D4.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.Q81C2 = C42.280D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:1C2128,1960
D4.Q82C2 = C42.284D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:2C2128,1964
D4.Q83C2 = C42.295D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:3C2128,1979
D4.Q84C2 = C42.298D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:4C2128,1982
D4.Q85C2 = C42.461C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:5C2128,2028
D4.Q86C2 = C42.462C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:6C2128,2029
D4.Q87C2 = C42.486C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:7C2128,2069
D4.Q88C2 = C42.488C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:8C2128,2071
D4.Q89C2 = C42.502C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:9C2128,2093
D4.Q810C2 = C42.506C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:10C2128,2097
D4.Q811C2 = D86Q8φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:11C2128,2112
D4.Q812C2 = C42.219D4φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:12C2128,1809
D4.Q813C2 = C42.449D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:13C2128,1812
D4.Q814C2 = C42.20C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:14C2128,1813
D4.Q815C2 = C42.22C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:15C2128,1815
D4.Q816C2 = C42.23C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:16C2128,1816
D4.Q817C2 = C42.229D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:17C2128,1843
D4.Q818C2 = C42.232D4φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:18C2128,1846
D4.Q819C2 = C42.353C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:19C2128,1851
D4.Q820C2 = C42.354C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:20C2128,1852
D4.Q821C2 = C42.356C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:21C2128,1854
D4.Q822C2 = C42.357C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:22C2128,1855
D4.Q823C2 = C42.286D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:23C2128,1966
D4.Q824C2 = C42.292D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:24C2128,1972
D4.Q825C2 = C42.423C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:25C2128,1973
D4.Q826C2 = C42.425C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:26C2128,1975
D4.Q827C2 = C42.426C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:27C2128,1976
D4.Q828C2 = C42.299D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:28C2128,1983
D4.Q829C2 = C42.304D4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:29C2128,1988
D4.Q830C2 = C4.2- 1+4φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:30C2128,1989
D4.Q831C2 = C42.25C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:31C2128,1990
D4.Q832C2 = C42.26C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:32C2128,1991
D4.Q833C2 = C42.27C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:33C2128,1992
D4.Q834C2 = C42.42C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:34C2128,2039
D4.Q835C2 = C42.45C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:35C2128,2042
D4.Q836C2 = C42.50C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:36C2128,2047
D4.Q837C2 = C42.53C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:37C2128,2050
D4.Q838C2 = C42.471C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:38C2128,2054
D4.Q839C2 = C42.472C23φ: C2/C1C2 ⊆ Out D4.Q832D4.Q8:39C2128,2055
D4.Q840C2 = C42.57C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:40C2128,2075
D4.Q841C2 = C42.59C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:41C2128,2077
D4.Q842C2 = C42.61C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:42C2128,2079
D4.Q843C2 = C42.62C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:43C2128,2080
D4.Q844C2 = C42.492C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:44C2128,2083
D4.Q845C2 = C42.496C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:45C2128,2087
D4.Q846C2 = C42.507C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:46C2128,2098
D4.Q847C2 = C42.509C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:47C2128,2100
D4.Q848C2 = C42.511C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:48C2128,2102
D4.Q849C2 = C42.512C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:49C2128,2103
D4.Q850C2 = C42.517C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:50C2128,2108
D4.Q851C2 = D84Q8φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:51C2128,2116
D4.Q852C2 = D85Q8φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8:52C2128,2121
D4.Q853C2 = C42.447D4φ: trivial image64D4.Q8:53C2128,1808
D4.Q854C2 = C42.384D4φ: trivial image64D4.Q8:54C2128,1834
D4.Q855C2 = C42.225D4φ: trivial image32D4.Q8:55C2128,1837

Non-split extensions G=N.Q with N=D4.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.Q8.1C2 = SD164Q8φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8.1C2128,2113
D4.Q8.2C2 = C42.518C23φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8.2C2128,2109
D4.Q8.3C2 = SD162Q8φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8.3C2128,2118
D4.Q8.4C2 = SD163Q8φ: C2/C1C2 ⊆ Out D4.Q864D4.Q8.4C2128,2120

׿
×
𝔽