extension | φ:Q→Out N | d | ρ | Label | ID |
C42⋊6C4⋊1C2 = C24.21D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:1C2 | 128,588 |
C42⋊6C4⋊2C2 = C8.C22⋊C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:2C2 | 128,614 |
C42⋊6C4⋊3C2 = C8⋊C22⋊C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:3C2 | 128,615 |
C42⋊6C4⋊4C2 = C42.426D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4:4C2 | 128,638 |
C42⋊6C4⋊5C2 = C42.427D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4:5C2 | 128,664 |
C42⋊6C4⋊6C2 = C42⋊9D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | | C4^2:6C4:6C2 | 128,734 |
C42⋊6C4⋊7C2 = C42.129D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:7C2 | 128,735 |
C42⋊6C4⋊8C2 = C42⋊10D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:8C2 | 128,736 |
C42⋊6C4⋊9C2 = C42.130D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:9C2 | 128,737 |
C42⋊6C4⋊10C2 = C24.63D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:10C2 | 128,465 |
C42⋊6C4⋊11C2 = D4.C42 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:11C2 | 128,491 |
C42⋊6C4⋊12C2 = D4.3C42 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:12C2 | 128,497 |
C42⋊6C4⋊13C2 = C42.102D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:13C2 | 128,538 |
C42⋊6C4⋊14C2 = C24.70D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:14C2 | 128,558 |
C42⋊6C4⋊15C2 = (C2×C42)⋊C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4:15C2 | 128,559 |
C42⋊6C4⋊16C2 = C4≀C2⋊C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:16C2 | 128,591 |
C42⋊6C4⋊17C2 = C42⋊9(C2×C4) | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:17C2 | 128,592 |
C42⋊6C4⋊18C2 = M4(2).41D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4:18C2 | 128,593 |
C42⋊6C4⋊19C2 = M4(2).42D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:19C2 | 128,598 |
C42⋊6C4⋊20C2 = C24.72D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:20C2 | 128,603 |
C42⋊6C4⋊21C2 = M4(2)⋊19D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4:21C2 | 128,616 |
C42⋊6C4⋊22C2 = C24.23D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:22C2 | 128,617 |
C42⋊6C4⋊23C2 = C24.24D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | | C4^2:6C4:23C2 | 128,619 |
C42⋊6C4⋊24C2 = C4.4D4⋊13C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:24C2 | 128,620 |
C42⋊6C4⋊25C2 = (C2×C4)≀C2 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | | C4^2:6C4:25C2 | 128,628 |
C42⋊6C4⋊26C2 = C42⋊7D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:26C2 | 128,629 |
C42⋊6C4⋊27C2 = M4(2).24D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:27C2 | 128,661 |
C42⋊6C4⋊28C2 = C42.428D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:28C2 | 128,669 |
C42⋊6C4⋊29C2 = C42.107D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:29C2 | 128,670 |
C42⋊6C4⋊30C2 = (C2×D4)⋊2Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:30C2 | 128,759 |
C42⋊6C4⋊31C2 = C42.8D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4:31C2 | 128,763 |
C42⋊6C4⋊32C2 = M4(2)⋊6D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:32C2 | 128,769 |
C42⋊6C4⋊33C2 = M4(2).7D4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4:33C2 | 128,770 |
C42⋊6C4⋊34C2 = C4×C4≀C2 | φ: trivial image | 32 | | C4^2:6C4:34C2 | 128,490 |
C42⋊6C4⋊35C2 = Q8.C42 | φ: trivial image | 32 | | C4^2:6C4:35C2 | 128,496 |
extension | φ:Q→Out N | d | ρ | Label | ID |
C42⋊6C4.1C2 = C4.10D4⋊2C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.1C2 | 128,589 |
C42⋊6C4.2C2 = M4(2)⋊Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.2C2 | 128,792 |
C42⋊6C4.3C2 = C42⋊3Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.3C2 | 128,793 |
C42⋊6C4.4C2 = C8.5C42 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.4C2 | 128,505 |
C42⋊6C4.5C2 = C8⋊C4⋊17C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4.5C2 | 128,573 |
C42⋊6C4.6C2 = C4⋊Q8⋊15C4 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.6C2 | 128,618 |
C42⋊6C4.7C2 = M4(2).3Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.7C2 | 128,654 |
C42⋊6C4.8C2 = C42.62Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.8C2 | 128,677 |
C42⋊6C4.9C2 = C42.28Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.9C2 | 128,678 |
C42⋊6C4.10C2 = M4(2)⋊7Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.10C2 | 128,718 |
C42⋊6C4.11C2 = C42⋊16Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.11C2 | 128,726 |
C42⋊6C4.12C2 = C42⋊Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.12C2 | 128,727 |
C42⋊6C4.13C2 = (C2×Q8)⋊2Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 32 | | C4^2:6C4.13C2 | 128,760 |
C42⋊6C4.14C2 = C42.32Q8 | φ: C2/C1 → C2 ⊆ Out C42⋊6C4 | 16 | 4 | C4^2:6C4.14C2 | 128,834 |
C42⋊6C4.15C2 = C8.14C42 | φ: trivial image | 32 | | C4^2:6C4.15C2 | 128,504 |