Extensions 1→N→G→Q→1 with N=D4.2D4 and Q=C2

Direct product G=NxQ with N=D4.2D4 and Q=C2
dρLabelID
C2xD4.2D464C2xD4.2D4128,1763

Semidirect products G=N:Q with N=D4.2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.2D4:1C2 = C42.265D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:1C2128,1939
D4.2D4:2C2 = C42.269D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:2C2128,1943
D4.2D4:3C2 = C42.295D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:3C2128,1979
D4.2D4:4C2 = C42.298D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:4C2128,1982
D4.2D4:5C2 = D8:12D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:5C2128,2012
D4.2D4:6C2 = SD16:10D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:6C2128,2014
D4.2D4:7C2 = C42.462C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:7C2128,2029
D4.2D4:8C2 = C42.466C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:8C2128,2033
D4.2D4:9C2 = C42.502C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:9C2128,2093
D4.2D4:10C2 = C42.528C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:10C2128,2126
D4.2D4:11C2 = C42.530C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:11C2128,2128
D4.2D4:12C2 = C42.211D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:12C2128,1768
D4.2D4:13C2 = C42.446D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:13C2128,1772
D4.2D4:14C2 = C42.14C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:14C2128,1773
D4.2D4:15C2 = C42.15C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:15C2128,1774
D4.2D4:16C2 = C42.18C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:16C2128,1777
D4.2D4:17C2 = C42.19C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:17C2128,1778
D4.2D4:18C2 = C42.229D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:18C2128,1843
D4.2D4:19C2 = C42.232D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:19C2128,1846
D4.2D4:20C2 = C42.352C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:20C2128,1850
D4.2D4:21C2 = C42.358C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:21C2128,1856
D4.2D4:22C2 = C42.359C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:22C2128,1857
D4.2D4:23C2 = C42.271D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:23C2128,1945
D4.2D4:24C2 = C42.277D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:24C2128,1951
D4.2D4:25C2 = C42.406C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:25C2128,1952
D4.2D4:26C2 = C42.407C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:26C2128,1953
D4.2D4:27C2 = C42.410C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:27C2128,1956
D4.2D4:28C2 = C42.411C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:28C2128,1957
D4.2D4:29C2 = C42.299D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:29C2128,1983
D4.2D4:30C2 = C42.304D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:30C2128,1988
D4.2D4:31C2 = C4.2- 1+4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:31C2128,1989
D4.2D4:32C2 = C42.29C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:32C2128,1994
D4.2D4:33C2 = C42.30C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:33C2128,1995
D4.2D4:34C2 = D8:9D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:34C2128,1996
D4.2D4:35C2 = SD16:D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:35C2128,1997
D4.2D4:36C2 = D8:10D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:36C2128,1999
D4.2D4:37C2 = SD16:8D4φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:37C2128,2001
D4.2D4:38C2 = D8:5D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:38C2128,2005
D4.2D4:39C2 = SD16:2D4φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:39C2128,2007
D4.2D4:40C2 = C42.41C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:40C2128,2038
D4.2D4:41C2 = C42.43C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:41C2128,2040
D4.2D4:42C2 = C42.54C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:42C2128,2051
D4.2D4:43C2 = C42.56C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:43C2128,2053
D4.2D4:44C2 = C42.471C23φ: C2/C1C2 ⊆ Out D4.2D432D4.2D4:44C2128,2054
D4.2D4:45C2 = C42.475C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:45C2128,2058
D4.2D4:46C2 = C42.511C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:46C2128,2102
D4.2D4:47C2 = C42.514C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:47C2128,2105
D4.2D4:48C2 = C42.72C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:48C2128,2129
D4.2D4:49C2 = C42.74C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:49C2128,2131
D4.2D4:50C2 = C42.531C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:50C2128,2133
D4.2D4:51C2 = C42.533C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4:51C2128,2135
D4.2D4:52C2 = C42.443D4φ: trivial image64D4.2D4:52C2128,1767
D4.2D4:53C2 = C42.384D4φ: trivial image64D4.2D4:53C2128,1834
D4.2D4:54C2 = C42.225D4φ: trivial image32D4.2D4:54C2128,1837

Non-split extensions G=N.Q with N=D4.2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.2D4.1C2 = C42.501C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4.1C2128,2092
D4.2D4.2C2 = C42.508C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4.2C2128,2099
D4.2D4.3C2 = C42.517C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4.3C2128,2108
D4.2D4.4C2 = C42.532C23φ: C2/C1C2 ⊆ Out D4.2D464D4.2D4.4C2128,2134

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