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Extensions 1→N→G→Q→1 with N=C4⋊Q8 and Q=C10

Direct product G=N×Q with N=C4⋊Q8 and Q=C10
dρLabelID
C10×C4⋊Q8320C10xC4:Q8320,1533

Semidirect products G=N:Q with N=C4⋊Q8 and Q=C10
extensionφ:Q→Out NdρLabelID
C4⋊Q8⋊1C10 = C5×D4.10D4φ: C10/C5 → C2 ⊆ Out C4⋊Q8804C4:Q8:1C10320,957
C4⋊Q8⋊2C10 = C5×D4.D4φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:2C10320,962
C4⋊Q8⋊3C10 = C5×D4⋊Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:3C10320,975
C4⋊Q8⋊4C10 = C5×D4⋊2Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:4C10320,977
C4⋊Q8⋊5C10 = C5×C4.4D8φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:5C10320,987
C4⋊Q8⋊6C10 = C5×C42.28C22φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:6C10320,990
C4⋊Q8⋊7C10 = C5×C8⋊5D4φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:7C10320,993
C4⋊Q8⋊8C10 = C5×C8.2D4φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:8C10320,998
C4⋊Q8⋊9C10 = C5×C23.38C23φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:9C10320,1538
C4⋊Q8⋊10C10 = C5×C22.35C24φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:10C10320,1543
C4⋊Q8⋊11C10 = C5×C22.36C24φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:11C10320,1544
C4⋊Q8⋊12C10 = C5×C23.41C23φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:12C10320,1546
C4⋊Q8⋊13C10 = C5×D4⋊6D4φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:13C10320,1549
C4⋊Q8⋊14C10 = C5×D4×Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:14C10320,1551
C4⋊Q8⋊15C10 = C5×D4⋊3Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:15C10320,1556
C4⋊Q8⋊16C10 = C5×C22.49C24φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:16C10320,1557
C4⋊Q8⋊17C10 = C5×C22.50C24φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:17C10320,1558
C4⋊Q8⋊18C10 = C5×C22.57C24φ: C10/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:18C10320,1565
C4⋊Q8⋊19C10 = C5×C22.26C24φ: trivial image160C4:Q8:19C10320,1534
C4⋊Q8⋊20C10 = C5×C23.37C23φ: trivial image160C4:Q8:20C10320,1535

Non-split extensions G=N.Q with N=C4⋊Q8 and Q=C10
extensionφ:Q→Out NdρLabelID
C4⋊Q8.1C10 = C5×C4.10D8φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.1C10320,137
C4⋊Q8.2C10 = C5×C4.6Q16φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.2C10320,138
C4⋊Q8.3C10 = C5×C42.3C4φ: C10/C5 → C2 ⊆ Out C4⋊Q8804C4:Q8.3C10320,161
C4⋊Q8.4C10 = C5×C4⋊2Q16φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.4C10320,963
C4⋊Q8.5C10 = C5×Q8⋊Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.5C10320,976
C4⋊Q8.6C10 = C5×C4.Q16φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.6C10320,978
C4⋊Q8.7C10 = C5×C4.SD16φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.7C10320,988
C4⋊Q8.8C10 = C5×C42.30C22φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.8C10320,992
C4⋊Q8.9C10 = C5×C4⋊Q16φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.9C10320,995
C4⋊Q8.10C10 = C5×C8⋊3Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.10C10320,999
C4⋊Q8.11C10 = C5×C8⋊2Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.11C10320,1001
C4⋊Q8.12C10 = C5×C8⋊Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.12C10320,1002
C4⋊Q8.13C10 = C5×Q8⋊3Q8φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.13C10320,1559
C4⋊Q8.14C10 = C5×Q82φ: C10/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.14C10320,1560

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