# Extensions 1→N→G→Q→1 with N=C23.25D4 and Q=C2

Direct product G=N×Q with N=C23.25D4 and Q=C2
dρLabelID
C2×C23.25D464C2xC2^3.25D4128,1641

Semidirect products G=N:Q with N=C23.25D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.25D41C2 = C23.24D8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:1C2128,870
C23.25D42C2 = C23.19D8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:2C2128,966
C23.25D43C2 = C24.144D4φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:3C2128,1782
C23.25D44C2 = C42.447D4φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:4C2128,1808
C23.25D45C2 = C42.20C23φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:5C2128,1813
C23.25D46C2 = C24.115D4φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:6C2128,1823
C23.25D47C2 = (C2×D4).301D4φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:7C2128,1828
C23.25D48C2 = (C2×D4).302D4φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:8C2128,1829
C23.25D49C2 = C42.485C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:9C2128,2068
C23.25D410C2 = C42.486C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:10C2128,2069
C23.25D411C2 = C42.488C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:11C2128,2071
C23.25D412C2 = C42.489C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:12C2128,2072
C23.25D413C2 = C42.490C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:13C2128,2073
C23.25D414C2 = C42.491C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:14C2128,2074
C23.25D415C2 = (C2×D4).24Q8φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4:15C2128,544
C23.25D416C2 = C8○D4⋊C4φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4:16C2128,546
C23.25D417C2 = M4(2).30D4φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4:17C2128,708
C23.25D418C2 = C23.40D8φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:18C2128,872
C23.25D419C2 = C23.13D8φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4:19C2128,877
C23.25D420C2 = C24.100D4φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:20C2128,1643
C23.25D421C2 = C4○D4.7Q8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:21C2128,1644
C23.25D422C2 = C4○D4.8Q8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:22C2128,1645
C23.25D423C2 = C42.383D4φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:23C2128,1675
C23.25D424C2 = C42.277C23φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:24C2128,1680
C23.25D425C2 = C42.278C23φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:25C2128,1681
C23.25D426C2 = C24.110D4φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:26C2128,1786
C23.25D427C2 = (C2×C8)⋊11D4φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:27C2128,1789
C23.25D428C2 = (C2×C8)⋊12D4φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4:28C2128,1790
C23.25D429C2 = C8.D4⋊C2φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:29C2128,1791
C23.25D430C2 = C42.61C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:30C2128,2079
C23.25D431C2 = C42.62C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:31C2128,2080
C23.25D432C2 = C42.63C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:32C2128,2081
C23.25D433C2 = C42.64C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4:33C2128,2082
C23.25D434C2 = C4×C4○D8φ: trivial image64C2^3.25D4:34C2128,1671

Non-split extensions G=N.Q with N=C23.25D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.25D4.1C2 = C8.9C42φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.1C2128,114
C23.25D4.2C2 = M4(2).3Q8φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4.2C2128,654
C23.25D4.3C2 = C42.62Q8φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4.3C2128,677
C23.25D4.4C2 = C23.25D8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.4C2128,890
C23.25D4.5C2 = C23.20D8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.5C2128,969
C23.25D4.6C2 = C42.21C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.6C2128,1814
C23.25D4.7C2 = C42.364D4φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.7C2128,1892
C23.25D4.8C2 = C23.9D8φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4.8C2128,116
C23.25D4.9C2 = C8.C42φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4.9C2128,118
C23.25D4.10C2 = C8.4C42φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4.10C2128,121
C23.25D4.11C2 = C8.5C42φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4.11C2128,505
C23.25D4.12C2 = C8.(C4⋊C4)φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4.12C2128,565
C23.25D4.13C2 = C42.28Q8φ: C2/C1C2 ⊆ Out C23.25D432C2^3.25D4.13C2128,678
C23.25D4.14C2 = C23.41D8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.14C2128,873
C23.25D4.15C2 = M5(2)⋊3C4φ: C2/C1C2 ⊆ Out C23.25D4324C2^3.25D4.15C2128,887
C23.25D4.16C2 = M5(2)⋊1C4φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.16C2128,891
C23.25D4.17C2 = C42.279C23φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.17C2128,1682
C23.25D4.18C2 = C42.252D4φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.18C2128,1894
C23.25D4.19C2 = M4(2)⋊3Q8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.19C2128,1895
C23.25D4.20C2 = M4(2)⋊4Q8φ: C2/C1C2 ⊆ Out C23.25D464C2^3.25D4.20C2128,1896
C23.25D4.21C2 = C8.14C42φ: trivial image32C2^3.25D4.21C2128,504

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