Extensions 1→N→G→Q→1 with N=C84Q8 and Q=C2

Direct product G=N×Q with N=C84Q8 and Q=C2
dρLabelID
C2×C84Q8128C2xC8:4Q8128,1691

Semidirect products G=N:Q with N=C84Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C84Q81C2 = C8⋊SD16φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:1C2128,418
C84Q82C2 = C82SD16φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:2C2128,420
C84Q83C2 = C42.507C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:3C2128,2098
C84Q84C2 = C42.508C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:4C2128,2099
C84Q85C2 = C42.509C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:5C2128,2100
C84Q86C2 = C42.510C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:6C2128,2101
C84Q87C2 = C42.511C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:7C2128,2102
C84Q88C2 = C42.512C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:8C2128,2103
C84Q89C2 = C42.513C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:9C2128,2104
C84Q810C2 = C42.514C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:10C2128,2105
C84Q811C2 = C42.516C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:11C2128,2107
C84Q812C2 = C42.517C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:12C2128,2108
C84Q813C2 = C42.518C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:13C2128,2109
C84Q814C2 = D84Q8φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:14C2128,2116
C84Q815C2 = SD16⋊Q8φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:15C2128,2117
C84Q816C2 = SD162Q8φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:16C2128,2118
C84Q817C2 = SD163Q8φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:17C2128,2120
C84Q818C2 = D85Q8φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:18C2128,2121
C84Q819C2 = C42.72C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:19C2128,2129
C84Q820C2 = C42.73C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:20C2128,2130
C84Q821C2 = C42.74C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:21C2128,2131
C84Q822C2 = C42.75C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:22C2128,2132
C84Q823C2 = C42.531C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:23C2128,2133
C84Q824C2 = C42.532C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:24C2128,2134
C84Q825C2 = C42.533C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:25C2128,2135
C84Q826C2 = C42.249C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:26C2128,430
C84Q827C2 = C42.253C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:27C2128,434
C84Q828C2 = C812SD16φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:28C2128,314
C84Q829C2 = D4.M4(2)φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:29C2128,317
C84Q830C2 = C89SD16φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:30C2128,322
C84Q831C2 = C8⋊M4(2)φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:31C2128,324
C84Q832C2 = C42.287C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:32C2128,1693
C84Q833C2 = M4(2)⋊9Q8φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:33C2128,1694
C84Q834C2 = Q8×M4(2)φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:34C2128,1695
C84Q835C2 = C42.292C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:35C2128,1699
C84Q836C2 = C42.293C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:36C2128,1700
C84Q837C2 = C42.294C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:37C2128,1701
C84Q838C2 = D46M4(2)φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:38C2128,1702
C84Q839C2 = C42.302C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:39C2128,1715
C84Q840C2 = Q8.4M4(2)φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:40C2128,1716
C84Q841C2 = C42.696C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:41C2128,1717
C84Q842C2 = C42.304C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:42C2128,1718
C84Q843C2 = C42.305C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:43C2128,1719
C84Q844C2 = C42.698C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:44C2128,1721
C84Q845C2 = D48M4(2)φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:45C2128,1722
C84Q846C2 = C42.307C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:46C2128,1724
C84Q847C2 = C42.308C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:47C2128,1725
C84Q848C2 = C42.309C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:48C2128,1726
C84Q849C2 = C42.310C23φ: C2/C1C2 ⊆ Out C84Q864C8:4Q8:49C2128,1727
C84Q850C2 = C42.286C23φ: trivial image64C8:4Q8:50C2128,1692
C84Q851C2 = C42.290C23φ: trivial image64C8:4Q8:51C2128,1697
C84Q852C2 = C42.291C23φ: trivial image64C8:4Q8:52C2128,1698

Non-split extensions G=N.Q with N=C84Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C84Q8.1C2 = C8.SD16φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.1C2128,422
C84Q8.2C2 = C8⋊Q16φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.2C2128,424
C84Q8.3C2 = C82Q16φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.3C2128,426
C84Q8.4C2 = C8.3Q16φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.4C2128,428
C84Q8.5C2 = C42.515C23φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.5C2128,2106
C84Q8.6C2 = Q164Q8φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.6C2128,2119
C84Q8.7C2 = Q165Q8φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.7C2128,2122
C84Q8.8C2 = C42.251C23φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.8C2128,432
C84Q8.9C2 = C42.255C23φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.9C2128,436
C84Q8.10C2 = C8.17Q16φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.10C2128,70
C84Q8.11C2 = C89Q16φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.11C2128,316
C84Q8.12C2 = Q8.M4(2)φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.12C2128,319
C84Q8.13C2 = C86Q16φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.13C2128,323
C84Q8.14C2 = C8.M4(2)φ: C2/C1C2 ⊆ Out C84Q8128C8:4Q8.14C2128,325

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