# Extensions 1→N→G→Q→1 with N=C23.24D4 and Q=C2

Direct product G=N×Q with N=C23.24D4 and Q=C2
dρLabelID
C2×C23.24D464C2xC2^3.24D4128,1624

Semidirect products G=N:Q with N=C23.24D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.24D41C2 = 2+ 1+44C4φ: C2/C1C2 ⊆ Out C23.24D4324C2^3.24D4:1C2128,526
C23.24D42C2 = M4(2).44D4φ: C2/C1C2 ⊆ Out C23.24D4324C2^3.24D4:2C2128,613
C23.24D43C2 = C22⋊C4.7D4φ: C2/C1C2 ⊆ Out C23.24D4324C2^3.24D4:3C2128,785
C23.24D44C2 = C24.144D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:4C2128,1782
C23.24D45C2 = C42.355D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:5C2128,1863
C23.24D46C2 = C4○D4⋊D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:6C2128,1740
C23.24D47C2 = Q8.(C2×D4)φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:7C2128,1743
C23.24D48C2 = C42.14C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:8C2128,1773
C23.24D49C2 = (C2×D4).303D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:9C2128,1830
C23.24D410C2 = C42.462C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:10C2128,2029
C23.24D411C2 = C42.465C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:11C2128,2032
C23.24D412C2 = C42.467C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:12C2128,2034
C23.24D413C2 = C42.470C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:13C2128,2037
C23.24D414C2 = C24.103D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:14C2128,1734
C23.24D415C2 = C42.443D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:15C2128,1767
C23.24D416C2 = C24.115D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:16C2128,1823
C23.24D417C2 = C42.44C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:17C2128,2041
C23.24D418C2 = C42.48C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:18C2128,2045
C23.24D419C2 = C42.50C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:19C2128,2047
C23.24D420C2 = C42.54C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:20C2128,2051
C23.24D421C2 = D4.(C2×D4)φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:21C2128,1741
C23.24D422C2 = (C2×Q8)⋊16D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:22C2128,1742
C23.24D423C2 = C42.15C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:23C2128,1774
C23.24D424C2 = C42.16C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:24C2128,1775
C23.24D425C2 = (C2×D4).304D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:25C2128,1831
C23.24D426C2 = C42.461C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:26C2128,2028
C23.24D427C2 = C42.466C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:27C2128,2033
C23.24D428C2 = C42.468C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:28C2128,2035
C23.24D429C2 = C42.469C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:29C2128,2036
C23.24D430C2 = C42.42C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:30C2128,2039
C23.24D431C2 = C42.46C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:31C2128,2043
C23.24D432C2 = C42.52C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:32C2128,2049
C23.24D433C2 = C42.56C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:33C2128,2053
C23.24D434C2 = C24.98D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:34C2128,1628
C23.24D435C2 = 2+ 1+45C4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:35C2128,1629
C23.24D436C2 = 2- 1+44C4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:36C2128,1630
C23.24D437C2 = C42.383D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:37C2128,1675
C23.24D438C2 = C42.275C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:38C2128,1678
C23.24D439C2 = C24.110D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:39C2128,1786
C23.24D440C2 = M4(2)⋊16D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:40C2128,1794
C23.24D441C2 = M4(2)⋊17D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:41C2128,1795
C23.24D442C2 = C42.239D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4:42C2128,1867
C23.24D443C2 = C42.366C23φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4:43C2128,1868
C23.24D444C2 = C4×C4○D8φ: trivial image64C2^3.24D4:44C2128,1671

Non-split extensions G=N.Q with N=C23.24D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.24D4.1C2 = C42.428D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4.1C2128,669
C23.24D4.2C2 = C42.9D4φ: C2/C1C2 ⊆ Out C23.24D4324C2^3.24D4.2C2128,812
C23.24D4.3C2 = C42.17C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4.3C2128,1776
C23.24D4.4C2 = C42.22C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4.4C2128,1815
C23.24D4.5C2 = M4(2).42D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4.5C2128,598
C23.24D4.6C2 = M4(2).24D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4.6C2128,661
C23.24D4.7C2 = C42.447D4φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4.7C2128,1808
C23.24D4.8C2 = C42.23C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4.8C2128,1816
C23.24D4.9C2 = D4.3C42φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4.9C2128,497
C23.24D4.10C2 = C42.107D4φ: C2/C1C2 ⊆ Out C23.24D432C2^3.24D4.10C2128,670
C23.24D4.11C2 = C42.276C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4.11C2128,1679
C23.24D4.12C2 = C42.367C23φ: C2/C1C2 ⊆ Out C23.24D464C2^3.24D4.12C2128,1869
C23.24D4.13C2 = Q8.C42φ: trivial image32C2^3.24D4.13C2128,496

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