Extensions 1→N→G→Q→1 with N=C2.Q32 and Q=C2

Direct product G=N×Q with N=C2.Q32 and Q=C2
dρLabelID
C2×C2.Q32128C2xC2.Q32128,869

Semidirect products G=N:Q with N=C2.Q32 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.Q321C2 = C16.19D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:1C2128,948
C2.Q322C2 = C168D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:2C2128,949
C2.Q323C2 = C8.22SD16φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:3C2128,974
C2.Q324C2 = D88D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:4C2128,918
C2.Q325C2 = Q16.8D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:5C2128,920
C2.Q326C2 = D8.5D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:6C2128,942
C2.Q327C2 = C23.51D8φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:7C2128,968
C2.Q328C2 = Q167D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:8C2128,917
C2.Q329C2 = D8.10D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:9C2128,921
C2.Q3210C2 = D8.4D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:10C2128,940
C2.Q3211C2 = Q16.5D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:11C2128,943
C2.Q3212C2 = C23.50D8φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:12C2128,967
C2.Q3213C2 = C23.20D8φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:13C2128,969
C2.Q3214C2 = C23.39D8φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:14C2128,871
C2.Q3215C2 = C23.41D8φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:15C2128,873
C2.Q3216C2 = SD323C4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:16C2128,907
C2.Q3217C2 = C16.D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:17C2128,951
C2.Q3218C2 = C162D4φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:18C2128,952
C2.Q3219C2 = C8.12SD16φ: C2/C1C2 ⊆ Out C2.Q3264C2.Q32:19C2128,975
C2.Q3220C2 = C23.24D8φ: trivial image64C2.Q32:20C2128,870
C2.Q3221C2 = C4×SD32φ: trivial image64C2.Q32:21C2128,905

Non-split extensions G=N.Q with N=C2.Q32 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.Q32.1C2 = C4.SD32φ: C2/C1C2 ⊆ Out C2.Q32128C2.Q32.1C2128,973
C2.Q32.2C2 = Q16.4D4φ: C2/C1C2 ⊆ Out C2.Q32128C2.Q32.2C2128,941
C2.Q32.3C2 = C4.Q32φ: C2/C1C2 ⊆ Out C2.Q32128C2.Q32.3C2128,959
C2.Q32.4C2 = Q16⋊Q8φ: C2/C1C2 ⊆ Out C2.Q32128C2.Q32.4C2128,957
C2.Q32.5C2 = Q16.Q8φ: C2/C1C2 ⊆ Out C2.Q32128C2.Q32.5C2128,961
C2.Q32.6C2 = Q324C4φ: C2/C1C2 ⊆ Out C2.Q32128C2.Q32.6C2128,908
C2.Q32.7C2 = C8.14SD16φ: C2/C1C2 ⊆ Out C2.Q32128C2.Q32.7C2128,977
C2.Q32.8C2 = C4×Q32φ: trivial image128C2.Q32.8C2128,906

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