Extensions 1→N→G→Q→1 with N=C82Q8 and Q=C2

Direct product G=N×Q with N=C82Q8 and Q=C2
dρLabelID
C2×C82Q8128C2xC8:2Q8128,1891

Semidirect products G=N:Q with N=C82Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C82Q81C2 = D4.7D8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:1C2128,379
C82Q82C2 = D44Q16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:2C2128,381
C82Q83C2 = C42.211C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:3C2128,382
C82Q84C2 = C810SD16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:4C2128,405
C82Q85C2 = D4.1Q16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:5C2128,407
C82Q86C2 = C85D8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:6C2128,438
C82Q87C2 = C42.666C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:7C2128,451
C82Q88C2 = C8.2D8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:8C2128,454
C82Q89C2 = D81Q8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:9C2128,956
C82Q810C2 = D8⋊Q8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:10C2128,958
C82Q811C2 = C4.4D16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:11C2128,972
C82Q812C2 = C42.278D4φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:12C2128,1958
C82Q813C2 = C42.280D4φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:13C2128,1960
C82Q814C2 = C42.282D4φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:14C2128,1962
C82Q815C2 = C42.283D4φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:15C2128,1963
C82Q816C2 = C42.425C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:16C2128,1975
C82Q817C2 = D45D8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:17C2128,2066
C82Q818C2 = D46Q16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:18C2128,2070
C82Q819C2 = C42.490C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:19C2128,2073
C82Q820C2 = C42.491C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:20C2128,2074
C82Q821C2 = Q8×D8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:21C2128,2110
C82Q822C2 = D86Q8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:22C2128,2112
C82Q823C2 = C84SD16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:23C2128,425
C82Q824C2 = C8.8SD16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:24C2128,427
C82Q825C2 = C85SD16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:25C2128,446
C82Q826C2 = C8.12SD16φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:26C2128,975
C82Q827C2 = M4(2)⋊4Q8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:27C2128,1896
C82Q828C2 = M4(2)⋊5Q8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:28C2128,1897
C82Q829C2 = C42.387C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:29C2128,1907
C82Q830C2 = C42.259D4φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:30C2128,1914
C82Q831C2 = C42.494C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:31C2128,2085
C82Q832C2 = C42.498C23φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:32C2128,2089
C82Q833C2 = SD16⋊Q8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:33C2128,2117
C82Q834C2 = SD162Q8φ: C2/C1C2 ⊆ Out C82Q864C8:2Q8:34C2128,2118
C82Q835C2 = C42.364D4φ: trivial image64C8:2Q8:35C2128,1892
C82Q836C2 = C42.366D4φ: trivial image64C8:2Q8:36C2128,1901
C82Q837C2 = C42.367D4φ: trivial image64C8:2Q8:37C2128,1902

Non-split extensions G=N.Q with N=C82Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C82Q8.1C2 = C4.10D16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.1C2128,96
C82Q8.2C2 = C4.6Q32φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.2C2128,97
C82Q8.3C2 = Q84Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.3C2128,380
C82Q8.4C2 = C87Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.4C2128,406
C82Q8.5C2 = Q8.1Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.5C2128,408
C82Q8.6C2 = C85Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.6C2128,439
C82Q8.7C2 = C8.7Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.7C2128,442
C82Q8.8C2 = C84Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.8C2128,445
C82Q8.9C2 = C42.665C23φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.9C2128,450
C82Q8.10C2 = C83Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.10C2128,455
C82Q8.11C2 = Q16⋊Q8φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.11C2128,957
C82Q8.12C2 = C4.Q32φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.12C2128,959
C82Q8.13C2 = C4.SD32φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.13C2128,973
C82Q8.14C2 = C162Q8φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.14C2128,984
C82Q8.15C2 = C163Q8φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.15C2128,986
C82Q8.16C2 = Q8×Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.16C2128,2114
C82Q8.17C2 = Q166Q8φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.17C2128,2115
C82Q8.18C2 = C82Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.18C2128,426
C82Q8.19C2 = C8.3Q16φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.19C2128,428
C82Q8.20C2 = C16⋊Q8φ: C2/C1C2 ⊆ Out C82Q8128C8:2Q8.20C2128,987

׿
×
𝔽