Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C2 and Q=Dic7⋊D4

Direct product G=N×Q with N=C2 and Q=Dic7⋊D4
dρLabelID
C2×Dic7⋊D4224C2xDic7:D4448,1255


Non-split extensions G=N.Q with N=C2 and Q=Dic7⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(Dic7⋊D4) = C24.44D14central extension (φ=1)224C2.1(Dic7:D4)448,476
C2.2(Dic7⋊D4) = C24.4D14central extension (φ=1)224C2.2(Dic7:D4)448,479
C2.3(Dic7⋊D4) = C24.13D14central extension (φ=1)224C2.3(Dic7:D4)448,491
C2.4(Dic7⋊D4) = C23.45D28central extension (φ=1)224C2.4(Dic7:D4)448,492
C2.5(Dic7⋊D4) = Dic7⋊(C4⋊C4)central extension (φ=1)448C2.5(Dic7:D4)448,506
C2.6(Dic7⋊D4) = D14⋊C4⋊7C4central extension (φ=1)224C2.6(Dic7:D4)448,524
C2.7(Dic7⋊D4) = C24.18D14central extension (φ=1)224C2.7(Dic7:D4)448,754
C2.8(Dic7⋊D4) = C24.6D14central stem extension (φ=1)224C2.8(Dic7:D4)448,482
C2.9(Dic7⋊D4) = C24.9D14central stem extension (φ=1)224C2.9(Dic7:D4)448,486
C2.10(Dic7⋊D4) = C24.14D14central stem extension (φ=1)224C2.10(Dic7:D4)448,493
C2.11(Dic7⋊D4) = C23.16D28central stem extension (φ=1)224C2.11(Dic7:D4)448,495
C2.12(Dic7⋊D4) = (C2×C28).54D4central stem extension (φ=1)448C2.12(Dic7:D4)448,518
C2.13(Dic7⋊D4) = (C2×C4).45D28central stem extension (φ=1)224C2.13(Dic7:D4)448,528
C2.14(Dic7⋊D4) = C7⋊C8⋊22D4central stem extension (φ=1)224C2.14(Dic7:D4)448,572
C2.15(Dic7⋊D4) = C4⋊D4⋊D7central stem extension (φ=1)224C2.15(Dic7:D4)448,573
C2.16(Dic7⋊D4) = C7⋊C8⋊23D4central stem extension (φ=1)224C2.16(Dic7:D4)448,575
C2.17(Dic7⋊D4) = C7⋊C8⋊5D4central stem extension (φ=1)224C2.17(Dic7:D4)448,576
C2.18(Dic7⋊D4) = C7⋊C8⋊24D4central stem extension (φ=1)224C2.18(Dic7:D4)448,582
C2.19(Dic7⋊D4) = C7⋊C8⋊6D4central stem extension (φ=1)224C2.19(Dic7:D4)448,583
C2.20(Dic7⋊D4) = C7⋊C8.29D4central stem extension (φ=1)224C2.20(Dic7:D4)448,585
C2.21(Dic7⋊D4) = C7⋊C8.6D4central stem extension (φ=1)224C2.21(Dic7:D4)448,586
C2.22(Dic7⋊D4) = Dic7⋊D8central stem extension (φ=1)224C2.22(Dic7:D4)448,684
C2.23(Dic7⋊D4) = (C2×D8).D7central stem extension (φ=1)224C2.23(Dic7:D4)448,687
C2.24(Dic7⋊D4) = Dic7⋊3SD16central stem extension (φ=1)224C2.24(Dic7:D4)448,696
C2.25(Dic7⋊D4) = Dic7⋊5SD16central stem extension (φ=1)224C2.25(Dic7:D4)448,697
C2.26(Dic7⋊D4) = (C7×D4).D4central stem extension (φ=1)224C2.26(Dic7:D4)448,699
C2.27(Dic7⋊D4) = (C7×Q8).D4central stem extension (φ=1)224C2.27(Dic7:D4)448,700
C2.28(Dic7⋊D4) = Dic7⋊3Q16central stem extension (φ=1)448C2.28(Dic7:D4)448,716
C2.29(Dic7⋊D4) = (C2×Q16)⋊D7central stem extension (φ=1)224C2.29(Dic7:D4)448,719
C2.30(Dic7⋊D4) = M4(2).D14central stem extension (φ=1)1128+C2.30(Dic7:D4)448,733
C2.31(Dic7⋊D4) = M4(2).13D14central stem extension (φ=1)1128-C2.31(Dic7:D4)448,734
C2.32(Dic7⋊D4) = M4(2).15D14central stem extension (φ=1)1128+C2.32(Dic7:D4)448,737
C2.33(Dic7⋊D4) = M4(2).16D14central stem extension (φ=1)2248-C2.33(Dic7:D4)448,738
C2.34(Dic7⋊D4) = C24.20D14central stem extension (φ=1)224C2.34(Dic7:D4)448,756
C2.35(Dic7⋊D4) = C24.21D14central stem extension (φ=1)224C2.35(Dic7:D4)448,757

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁