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

Extensions 1→N→G→Q→1 with N=C2×C18 and Q=C2×C4

Direct product G=N×Q with N=C2×C18 and Q=C2×C4
dρLabelID
C23×C36288C2^3xC36288,367

Semidirect products G=N:Q with N=C2×C18 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C18)⋊1(C2×C4) = C22⋊C4×D9φ: C2×C4/C2 → C22 ⊆ Aut C2×C1872(C2xC18):1(C2xC4)288,90
(C2×C18)⋊2(C2×C4) = Dic9⋊4D4φ: C2×C4/C2 → C22 ⊆ Aut C2×C18144(C2xC18):2(C2xC4)288,91
(C2×C18)⋊3(C2×C4) = D4×Dic9φ: C2×C4/C2 → C22 ⊆ Aut C2×C18144(C2xC18):3(C2xC4)288,144
(C2×C18)⋊4(C2×C4) = D4×C36φ: C2×C4/C4 → C2 ⊆ Aut C2×C18144(C2xC18):4(C2xC4)288,168
(C2×C18)⋊5(C2×C4) = C4×C9⋊D4φ: C2×C4/C4 → C2 ⊆ Aut C2×C18144(C2xC18):5(C2xC4)288,138
(C2×C18)⋊6(C2×C4) = C22×C4×D9φ: C2×C4/C4 → C2 ⊆ Aut C2×C18144(C2xC18):6(C2xC4)288,353
(C2×C18)⋊7(C2×C4) = C22⋊C4×C18φ: C2×C4/C22 → C2 ⊆ Aut C2×C18144(C2xC18):7(C2xC4)288,165
(C2×C18)⋊8(C2×C4) = C2×C18.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C18144(C2xC18):8(C2xC4)288,162
(C2×C18)⋊9(C2×C4) = C23×Dic9φ: C2×C4/C22 → C2 ⊆ Aut C2×C18288(C2xC18):9(C2xC4)288,365

Non-split extensions G=N.Q with N=C2×C18 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C18).1(C2×C4) = C22.D36φ: C2×C4/C2 → C22 ⊆ Aut C2×C18724(C2xC18).1(C2xC4)288,13
(C2×C18).2(C2×C4) = C4.D36φ: C2×C4/C2 → C22 ⊆ Aut C2×C181444-(C2xC18).2(C2xC4)288,30
(C2×C18).3(C2×C4) = C36.48D4φ: C2×C4/C2 → C22 ⊆ Aut C2×C18724+(C2xC18).3(C2xC4)288,31
(C2×C18).4(C2×C4) = C23.16D18φ: C2×C4/C2 → C22 ⊆ Aut C2×C18144(C2xC18).4(C2xC4)288,87
(C2×C18).5(C2×C4) = M4(2)×D9φ: C2×C4/C2 → C22 ⊆ Aut C2×C18724(C2xC18).5(C2xC4)288,116
(C2×C18).6(C2×C4) = D36.C4φ: C2×C4/C2 → C22 ⊆ Aut C2×C181444(C2xC18).6(C2xC4)288,117
(C2×C18).7(C2×C4) = D4.Dic9φ: C2×C4/C2 → C22 ⊆ Aut C2×C181444(C2xC18).7(C2xC4)288,158
(C2×C18).8(C2×C4) = C9×C8○D4φ: C2×C4/C4 → C2 ⊆ Aut C2×C181442(C2xC18).8(C2xC4)288,181
(C2×C18).9(C2×C4) = C8×Dic9φ: C2×C4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).9(C2xC4)288,21
(C2×C18).10(C2×C4) = Dic9⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).10(C2xC4)288,22
(C2×C18).11(C2×C4) = C72⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).11(C2xC4)288,23
(C2×C18).12(C2×C4) = D18⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).12(C2xC4)288,27
(C2×C18).13(C2×C4) = C2×C8×D9φ: C2×C4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).13(C2xC4)288,110
(C2×C18).14(C2×C4) = C2×C8⋊D9φ: C2×C4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).14(C2xC4)288,111
(C2×C18).15(C2×C4) = D36.2C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C181442(C2xC18).15(C2xC4)288,112
(C2×C18).16(C2×C4) = C2×C4×Dic9φ: C2×C4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).16(C2xC4)288,132
(C2×C18).17(C2×C4) = C2×Dic9⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).17(C2xC4)288,133
(C2×C18).18(C2×C4) = C2×D18⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).18(C2xC4)288,137
(C2×C18).19(C2×C4) = C9×C23⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).19(C2xC4)288,49
(C2×C18).20(C2×C4) = C9×C4.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).20(C2xC4)288,50
(C2×C18).21(C2×C4) = C9×C4.10D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C181444(C2xC18).21(C2xC4)288,51
(C2×C18).22(C2×C4) = C9×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).22(C2xC4)288,167
(C2×C18).23(C2×C4) = M4(2)×C18φ: C2×C4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).23(C2xC4)288,180
(C2×C18).24(C2×C4) = C4×C9⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).24(C2xC4)288,9
(C2×C18).25(C2×C4) = C42.D9φ: C2×C4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).25(C2xC4)288,10
(C2×C18).26(C2×C4) = C36⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).26(C2xC4)288,11
(C2×C18).27(C2×C4) = C36.55D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).27(C2xC4)288,37
(C2×C18).28(C2×C4) = C18.C42φ: C2×C4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).28(C2xC4)288,38
(C2×C18).29(C2×C4) = C36.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).29(C2xC4)288,39
(C2×C18).30(C2×C4) = C23⋊2Dic9φ: C2×C4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).30(C2xC4)288,41
(C2×C18).31(C2×C4) = C36.9D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C181444(C2xC18).31(C2xC4)288,42
(C2×C18).32(C2×C4) = C22×C9⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).32(C2xC4)288,130
(C2×C18).33(C2×C4) = C2×C4.Dic9φ: C2×C4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).33(C2xC4)288,131
(C2×C18).34(C2×C4) = C2×C4⋊Dic9φ: C2×C4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).34(C2xC4)288,135
(C2×C18).35(C2×C4) = C23.26D18φ: C2×C4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).35(C2xC4)288,136
(C2×C18).36(C2×C4) = C9×C2.C42central extension (φ=1)288(C2xC18).36(C2xC4)288,45
(C2×C18).37(C2×C4) = C9×C8⋊C4central extension (φ=1)288(C2xC18).37(C2xC4)288,47
(C2×C18).38(C2×C4) = C9×C22⋊C8central extension (φ=1)144(C2xC18).38(C2xC4)288,48
(C2×C18).39(C2×C4) = C9×C4⋊C8central extension (φ=1)288(C2xC18).39(C2xC4)288,55
(C2×C18).40(C2×C4) = C4⋊C4×C18central extension (φ=1)288(C2xC18).40(C2xC4)288,166

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁